If you do not want to go to the Mall of America, then I would not suggest coming to Bloomington. The mall is really the only attraction in the area. If you don't go to the mall, then you will probably find yourself with nothing to do!
When I went to the Mall of America, it was extremely frustrating to find. There were virtually NO signs to guide travelers to it! Eventually, I had to stop and ask someone for directions. They told me where to go, but in response to the lack of signs, they simply said, "Well, we all know where it is." Of course, I finally did get there, but if you decide to go, bring a map, or your own directions!
(Disclaimer: It has been over five years since I've been to the Mall of America, so they may have put up signs since then. Feel free to send me a message if things have changed.)