Zach,
I build with Elmer's carpenter's glue. Don't let that 24 hour figure scare you. 20-30 minutes is all that's needed before you can handle the parts being glued, most of the time. If you plan your build sequence ahead of time you can build pretty quickly. While the glue is drying on one part/assembly you can start working on the next steps. It just takes a little bit of planning ahead.

Ken