The Non-Conference Tournament they played in 2022 (San Juan Capistrano, CA) the Gophers didn't play any Power 5 teams. The event they scheduled for this fall in Palm Springs, last year only had 2 and 1 finished last in the Big 10.
I think it's possible it will be downgrade from Wake Forest/Wichita St who they played last year. Could improve it. Don't know.
As far as doing anything beyond marginally improving the out of Conference schedule, what you laid out including the 4 other cupcakes seems like too big of an assumption to move the needle. Beyond 2 cupcakes, I think there needs to be a couple of teams higher up (A10, Mountain West, New PAC-Whatever or something of that ilk).