Okay so I found the turn signal flasher right under the dash. It is a 224 (2 lamp model) so that's why I'm having trouble with the trailer lights. I swapped the 552 (2-6 lamp model) hazard flasher with the 224 and the trailer lights work perfectly so I'll just find another 552 flasher for the turn signals.
While I was messing with it I moved the wiring for the turn signal flasher to the fuse block like motornut's original wiring because a 552 doesn't have the little "tit" to mount under the dash.
A few pics for everyone:
http://www.supermotors.net/registry/26771/83752