I live in Minneapolis, and there isn't one. If you're staying in Long Lake, making a long trek to the Twin Cities is only going to be worth it if you want to watch the game. The odds of finding a Patriots group out here is very, very unlikely.
Psycho Suzi's is a hipster place that has signs on their TVs that say that there will never be sports on them. So I'd definitely stay away from that one. JJ's Clubhouse is nothing special and there will not be Pats fans in there. Just find a place that has the Direct TV ticket and hope for the best. There simply aren't giant pockets of Patriots fans out here. My brother is the only Pats fan I talk to in MN.
Interestingly enough, I used to bartend at a place that had the ticket, and I'd occasionally get one younger kid who'd moved out here to live with his gal that would watch the Pats. As I was always wearing my #12 on Sundays my place became the place that the 3 Pats fans in MN would go to. One of them was Tom Brady's uncle! Tom's mother's side of the family is from MN. Very nice man, he and I became pals and every now and then he'd bring me a hat or something cool. Unfortunately I haven't seen him in a few years.