Yeah bsnes is distributed inside higan now (hence why I said (bsnes/higan and not bsnes or higan, since they're the same). Snes9x 1.53 can render the image in DirectDraw, Direct3D and OpenGL.
higan can render the image in Direct3D, OpenGL, DirectDraw and GDI (Graphics Device Interface, not sure if OBS' Game Capture support this one, maybe not). Anyway higan is a very accuracy oriented emulator (it uses no hacks to speed up the emulation or anything alike), don't use the accuracy profile unless you have an overclocked i7, it really demands that kind of a CPU for things to work properly because of how accurate it is) so if your system isn't good enough then stick with Snes9x, it's still very accurate, it's pretty much in the same league as higan if Snes9x addresses some minor issues it has while still keeping it speedy.
http://byuu.org/bsnes/accuracy - You can read more of it here if you're interested.
EDIT: Well to be fair, higan is not entirely free from hacks, it uses some global hacks because he had to implement them, it was necessary. It uses no game hacks though which is really really nice. If interested, read here
http://byuu.org/articles/emulation-2/
Not sure if this has been addressed already though since the article is from 2007. Oh well, it's a nice read.