The Hyatt Regency and Millennium are the closest both are on Nicolett Mall and 13th Street which is approximately an 1/8th of mile walk through Loring Park
The closest would be downtown, but those would all be expensive. There are too many to list, but would easily be found by Googling downtown hotels. I would recommend expanding the distance that you can be from the Walker, where you may be able to save quite a bit.
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