Ok, now for some nontrivial advice if you're actually optimizing for sexiness as a man:

1. Develop your neck muscles by doing direct training (neck curls). The neck has a profound influence on your face aesthetics, see this video to see photoshopped examples and neck exercises.
2. Develop your jaw muscles by chewing mastic gum for 30 minutes a day, again plenty of youtube videos that talk about this.
3. If you can't grow a beard naturally, use minoxidil on your beard area, the gains are permanent even if you stop it after a few months.
4. Read some redpill stuff like The Rational Male. You probably don't want to go all the way in that direction, but the attractiveness optimum lies in that direction with respect to your current position. 

In other words, how will I acquire the traits that women find arousing in men. These traits include physical health (toned muscles, stamina), mental health, intelligence (emotional, mechanical), conscientiousness and agreeableness/assertiveness.

Pardon my speaking the obvious, but I feel like the key missing element is 'status'. If you have more status, you will be more rewarded for your progress in each of those areas. A person who is giving a widely-attended lecture is much more rewarded for improvements to their wit and charm than the person quietly watching in the audience.

But dates are high stress and I only do two a week. 

What channel do you have to set up two dates per week?

There is one ingredient I highly recommend from my personal experience: stop watching porn and stop masturbating. 

We have an incredible drive to procreate and in my experience this is dampened by watching porn and masturbating—which makes a lot of sense. We're stilling our drive to connect in an intimate way with a poor substitute that presses similar buttons. 

I notice myself becoming more outgoing, more confident, motivated to do sports, etc. It makes sense that we would have a build in drive to be sexy.

Specifically, my emotional intelligence is a weak spot. I don't spend enough time modeling other people in my head. I can get "out of touch" with the people I'm talking to, like a comedian practicing his routine in a closet.

Once I finish the other habits, I will practice more empathy in my daily conversations. Dates are great for empathy. Ask yourself what your date is thinking at any particular time.

Instead of asking yourself what your date is thinking asking yourself what they are feeling is more straightforward when you care about emotional intelligence.

After all, it will take willpower to work out every other day, and willpower is like a muscle (I hope!).

Jacob Lagerros likes to say it isn't a question of how hard you work, but whether you're pouring your energy into things that are 'life-affirming' or not. If you are, then the reward signal for effort is positive ("look at what great things I've achieved!"), if you are not, then the reward signal is negative ("Now I'm more tired and still I don't have any of the things I really care about").

Sam Altman has similar startup advice ("A winning team feels good and keeps winning. A team that hasn’t won in a while gets demotivated and keeps losing.") where effort that turns into a victory is effort that a team wants to reinvest in more victories.

See also the Relationship Advice Repository [LW · GW].

I don't have the money or time to go "full keto" or anything.

FWIW it's still possible to me you could do it with your constraints. When I went "full keto" and lost a bunch of weight, I ate mainly these sausages, these pecans, and cheese strings, (also a lot of these pork-crisps) and that's a lot of calories for a little food. I don't know if it's in your budget, or tolerance for repetitive food.

I will practice more empathy in my daily conversations.

I recommend you focus instead on getting people to laugh as your key metric. It's much easier to tell whether you are doing well or poorly or merely ok, and succeeding at it gets you very far.

I'm improving my sleep by buying a sleep mask. I tend to wake up at first light, which cuts an hour or two of sleep each day. This is by far the most cost-effective intervention because I can get 3 for $10 and reduce the bags under my eyes. 

I think most sleep masks that are that cheap don't fully block the incoming light. It might be worth to spend more on a better sleep mask.

Creatine is an incredibly powerful intervention. It improves energy management and decreases fatigue at the cellular level, in every single one of your cells. I expect you will notice cognitive enhancements as well as improved energy. However, I personally experience sleep disruptions if I take it on days when I do not exercise. Your mileage may vary, just a note that you might experiment with how much you take and how often you take it if you experience sleeplessness, night sweats, and/or vivid nightmares :)

In my personal experience, cutting carbs makes strength training harder. Strength training uses the anaerobic metabolic pathway, which must run on glycogen, not ketones. Technically your body will use gluconeogenesis to create glycogen from fat to supply your muscles, but this is not a fast process, and in my experience it feels pretty bad the longer you try to do it. I recommend checking out Dr. Mike Israetel on YouTube, specifically his video series “Fat loss made easy” and “muscle building made easy”.

You can convert money into height, through limb lengthening surgery. About $50K USD for additional 8cm in Europe. Double (or close) that price for the US. Also the process takes 1-1.5 years (lengthening alone - about 3m).

Is sexiness like beauty? In the eye of the beholder?

While I agree that most of what you're suggesting will increase your attractiveness to some women the bigger question you might want to explore is at those the women you are interested.

I also have a sense that some of your view on what women find attractive is from a male perspective and, as such, a bit suspect. That said, I think you can follow your plan, but be sure that what you're molding yourself into is actually who you are. Women are not (well, some might but do you want to date them?) going to find something that comes across as a front or facade sexy. You'll get farther with being yourself, being comfortable with yourself and being genuine about it.

Shifting a bit, lots of diet theory out there and everyone's metabolisms are a bit different. But I found that when I shifted to a more "eastern" diet with much more rice that I used to eat I actually started loosing weight. My thinking is that steamed rice (or at least rice cooker rice) is actually very low calorie for it's bulk. So I think I felt like I was eating a lot but not taking in as many calories are before.I also found just using one of the health apps that help track caloric intake was helpful my own understanding of just how much I was consuming on any given day.

With regard to exercise I would suggest adding a low level cardio type portion to your routine as that (from what I've heard/read) is better for actually burning fat than a true cardio workout. Heart rate target is age dependent but I would guess low 130s is probably good for you. You'll probably only need about 15-20 minutes 5 days a week.