I was planning on Epcot for Thanksgiving Day as well. I've never been on that holiday, but from all the advice I got on here, I figured that was a good choice. But this year they aren't starting the Festival of the Holidays until the day after Thanksgiving! We really want to do it, so I guess we will just fight the crowds at MK.
OP--You will LOVE Homecomin'. It's one of my favorites. Sorry I can't help you with your crowd question since I haven't been during that time. Maybe we will run into each other--literally! LOL!