Radisson Blu Mall of America is right next to the Mall. And there's a light rail train that goes from the airport to the mall. If you can get a good rate there, I would strongly suggest taking the train to the Mall and walking around slightly to get to the hotel. Really, not that bad.
If I were still in MSP (haven't really been since I started college) I would totally offer you a ride or even a place to crash. But I was born and raised in Bloomington, and my parents are still there, so I know the area really well and can help you out with the neighborhoods a bit.
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