I'm afraid it's a bit more complicated than that, while frequency response is a good indicator of the quality of a mic, in our world (the djembe world) amplitude capture is also a concern. Some mics record better at various amplitudes (volume).
Personally I would go with Sure for performance, there is also rode which is a reasonable competitor. I would look into amplitude specs for the various mics and compare that with price.
As far as recording goes, it would depend on how you want to use the recording. If you are thinking of CD quality, then I would poke around at local small recording studios, and see if anyone would want to help you out. they might be able to advise you on which mic to purchase, or they may have a used one they they would be willing to part with. Usually you do not want to use a studio quality mic "on the road".
If you are thinking about "scratch demos" or recordings for your own use, then the performance level mics will probably be fine.
Finally, personal taste comes into play, so whatever sounds good to you is what you should go for. The best situation would be to work with the seller, and see if you can field test the mics and make a decision from there. (the amplification system that you are using can also influence the sound quality, so different mics through different pa's will be different...)
I would try to reproduce the real performance situation if at all possible, bring the mics to gigs and test them, or set up a space to test them in. It all depends on how much work you want to do.
Well I think I successfully answered your question without actually answering your question... hope this helps...
[From my limited studio experience, I though the sm81 sounded best, but still didn't quite capture what I was looking for. I would NOT take a sm81 on the road unless it was a pretty controlled performance space.]