We have a small room block at the Delta Marriott about a half mile from the ceremony and reception venues. Rooms should be available whether or not the block has filled up.
If you're looking for something a bit more interesting, the Nicollet Island Inn is a charming, traditional inn located in the middle of the Mississippi river. It's the first place Alex ever stayed when he came to visit Minneapolis.
For more modern, upscale, urban arrangements, Hewing Hotel is located in Minneapolis' North Loop neighborhood. Great restaurants and bars abound within walking distance.