What is a city that's great for a weekend of hanging out that maybe doesn't get enough attention?

I want to check out some cities that are generally not at the top of tourist sites (NYC, LA, SF etc). I sort of want to pick a random city that has an awesome music scene and just go there by myself for a couple of days, eat check out some stuff, generally take it easy.

My wife is less interested in that, and since we live in California we have access to a lot of great places but I've never really explored the southeast or the Great lakes area. I have a lot of friends who have told me Minneapolis is awesome, what are y'all's thoughts on plopping in to the twin cities and just cruising around? Or whenever really. I love checking out local music scenes so that's probably the priority (any genre for the most part).

It's been a bunch of time in the Northeast and the West Coast, spent time in Austin Texas, + the DC Baltimore area.