Based on the funky noise I was hearing, I had a feeling I needed a new motor. But everything I read online and at least a couple of people I know personally who know their way around appliance repair said that if the drum wasn't turning, it was almost always a bad belt. "Great," I think. "Belts are cheap." I replaced the belt, and it did nothing. So I set about removing the motor. Unfortunately, the blower wheel was completely locked onto the end of the motor shaft, so I had to destroy it to get the motor out. I ended up ordering a new blower wheel and motor from AppliancePartsPros.com.
The repair was surprisingly straightforward and simple, and the videos posted on the site for each repair made it super easy to follow along, pause while I completed each step, and then move on to the next. I figured it wouldn't take more than an hour for the repair, start to finish, but I gave myself a couple of hours for the task just in case. That was plenty of time, and when I'd finished - voila! Like-new dryer. Spinning away on a load of towels as I write this.
Spent around $115 including freight, a handful of hours in disassembly and re-assembly, and saved probably $550 or so compared to buying a new dryer. I would HIGHLY recommend AppliancePartsPros.com to anyone I know who's looking to take on a reasonably simple repair and save a ton of money.