bano | @bano

There is a Facebook group called "Ask Rochester + SE MN", you need to join group. Nothing on site is vetted, so be carefull. I know some realtors and landlords monitor discussions. Rent in Rochester is expensive. If you do not have to be physically located in Rochester, you may try few towns within 30 minutes. Stewartville, Byron, Kasson. Oronoco are closest.

Facebook Group:
https://www.facebook.com/groups/856715975798304/posts/901550334648201/
A few apartment complexes have shared fenced in dog areas and rent furnished apartments for short term rentals. Not familiar with all of them. Another good question for Ask Rochester.