Today I overlooked some free Abkhasian fonts.
Unfortunatelly (? ;-) all of them are TTF, so it's hard to quickly decide how good/bad them are. Most likely ttf instructions were generated automagically, so I safely can suggest that outlines of glyphs aren't perfect.
As I can see there is a little difference between a "latin + russian" and "abkhasian" font. Abkhasian one uses some glyphs that are close to latin/cyrillic and can be simply made by modification of suitable glyphs. So it's possible to cover abkhasians by simple extention of the gnu-gs (aka URW) fonts.