I'm trying to find some songs. I think someone on this site might be able to recognize them. Would it be allowed to post a link to the audio and if so where would I post it?

As long as is not from any of these: Thread 49829
I think you will be find. And you go here: http://forums.ffshrine.org/forumdisplay.php?f=95 if you want someone to help you.

Thank you for the info. Would it be okay to offer a reward if someone did recongize one of the tracks?

There's no rules about rewarding someone...so I suppose its ok but if I were you I wouldn't. I'm sure someone can still help you.