Because the Midwest Tango Festival will take place in several venues in Minneapolis, where to stay is entirely your choice. Every venue is approximately 15-20m from each other by car and Minneapolis is very easy to get around if you are driving. There are many Minneapolis' hotels that are reasonably priced during the Holiday weekend. However, to assist you in your decision, here are some links to the hotels located in the neighborhoods of the venues.
Saturday Night, Grand Milonga