This one is a little outside the box, but Jason Benetti's name has been tossed out by more than a few Twins fans as someone they'd like to see step in for Bremer next season.
Benetti is one of the best play-by-play announcers in the country, making whatever game he's calling a little better. It's a treat to hear him on the Chicago broadcasts of White Sox-Twins games, as there's an unbiased respect to the way he approaches the games even though he's on the opposing side of things. Having him bring his talents to Minnesota to help usher in a new era would be an absolute steal -- not to mention what it would do for the rivalry.
That being said, he already has a pretty sweet gig calling games in a market like Chicago. Benetti works as an alternate on Chicago Bulls games in addition to his national duties with FOX, so the Twins would need to poach him from NBC if he were to switch sides and come to Minnesota.
It seems like a stretch, but it's also not unprecedented for a broadcaster to switch teams. Steve Stone called Cubs games for over two decades before crossing town to join the White Sox and Len Casper also jumped ship from the Cubs to White Sox. Moving across town and moving to another state are two very different things.