Ask HN: Finishing science program - should I switch to programming?

I'm mid-20s and finishing my undergrad ("hard" science) soon at a half-decent school. However, I'm ambivalent about continuing on as I'm not sure I have much to offer as a graduate student in my field. ("Good, he did not have enough imagination to become a mathematician" - David Hilbert).

This, and reading threads like https://news.ycombinator.com/item?id=3310355, leaves me worrying that in a few months I'll be just another science grad with no career path. I like CS but I feel that my skills (a mixture of pure and applied math, physics, a little CS, and stats) aren't really valuable to anyone and I don't know what to do to change that.

I've tried several times to learn web programming, but haven't managed to get deeply into it after encountering too much framework magic, or too much language ugliness (I like Lisps and ilk, but where are the mature, understandable web stacks to learn from?), or feeling that I'm dishearteningly far from understanding how a full-size interactive web site really functions. At the same time I don't even know if this is something I want to do - maybe I'm too perfectionist or thin-skinned or something, but maybe it's not a field where I can really do contribute something worthwhile - I have no idea. I thought about something more mathematical like machine learning or something more systems-oriented but again don't think I can develop useful facility in these areas during the next semester or so.

So apparently I don't really know what I'm asking. As it stands, maybe I have the wrong mindset for programming (see above) - but should I try to do something more 'academic' (like try to get into a CS or stats grad program) or what? Should I just try to be more obsessive/less perfectionist or is programming the wrong choice? What about in the short term?

Thanks!