I hope to be a first timer as well this year but I'll be driving up from Providence. Is the traffic as bad as Boston going to and coming back from the game. Would I do best parking in a satellite lot on the south side of the stadium to make it easier to drive home and avoid those heading north?
Driving from Providence isn't that bad. You'll want to go 95 to 495 North and then take your first exit up Rt. 1. The stadium will be on your right, however if you think about the flow of traffic it will be easier if you park on the opposite side. Look up Enterprise. Thats a great location to park. Close to the stadium and when you get to your car you are ready to drive south back to 95.
If you want to embrace the tailgate and enjoy the day, I'd suggest getting there 3-4 hours prior to the game, and plan on not leaving for a while. Fire up that grill after the game