Just use FCEUltra. Not much help with fixing your sound sync issue, but it's the NES emulator I've been using after Nesticle became outdated and I've never had any issues with the graphics or sound.
Yeah, I have tried that emulator, but I seem to have problem with that one as well;
for some reason I always get a message like "DirectDraw: Error Setting Display Mode" or something everytime I try to open Full Screen.
Is there any way to fix that?