Well, what choice is optimal depends on what one's goals are, “rationalist” isn't a narrow enough category for this purpose
Than I'm happy to hear about which goals you achieve better by taking up archery than by taking up martial arts. For what goals does archery happen to be an optimal solution or even a good one.
We're kind of kicking at different goalposts here. You're trying to show that archery isn't the best possible use of time (presumably for fitness) and I'm skeptical of your specific claims about it.
A couple things to consider.
On ChrisHallquist's post extolling the virtues of money, the top comment is Eliezer pointing out the lack of concrete examples. Can anyone think of any? This is not just hypothetical: if I think your suggestion is good, I will try it (and report back on how it went)
I care about health, improving personal skills (particularly: programming, writing, people skills), gaining respect (particularly at work), and entertainment (these days: primarily books and computer games). If you think I should care about something else, feel free to suggest it.
I am early-twenties programmer living in San Francisco. In the interest of getting advice useful to more than one person, I'll omit further personal details.
Budget: $50/day
If your idea requires significant ongoing time commitment, that is a major negative.