Liberty Tree Tavern seems like the place for the typical Thanksgiving meal. If you want to avoid crowds, I would suggest pretending Thanksgiving is a day or two later so you don't have to dine and make the same adr for that nigh as everyone else.
We went during Christmas week and I'd say Liberty Tree Tavern was fun. It was like a Thanksgiving Meal served with lots of character interaction. The food wasn't bad. It's hosted by Stouffer's and that's what it tastes like.... A Stouffer's Turkey/Beef Dinner...