In MInneapolis, I would second the Local. They have rooms (well, more like alcoves) you can work with staff there to secure on a given night. Nice feel, a little like MacLaren's in the show but it will definitely be more crowded.
Brit's might work too but not as much space to cordone off for a group looking to play cards. Still seems do-able.
In St. Paul, the Liffey. One of my favorite spots. Beautiful woodwork. And like The Local -- planty of set-aside rooms that you might be able to reserve (tho I never have done it)