I live up here. Best route is GSP North to Taapan Zee Bridge to Saw Mill River Parkway North to to I-684 to I-84 East.
Take I-84 East into the Hartford area. I would recommend staying/lodging either in Manchester CT if you are going to stay overnight.
Manchester CT has lodging, food, and other forms of entertainment 10 minutes from the stadium.
West Hartford CT on the west side of Hartford has similar facilities but you’ll have to travel through Hartford to the game and back where as in Manchester, you will be closer to the Rent.