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You can do a search for stay and cruise, park and cruise or sleep and cruise and get a list from those searchs.

I just did a search and came up with the following that offer free parking, not necessarily free shuttle service though.  Check with the hotel you choose.

Hampton Inn Downtown Historic Plaza - They say "steps away from the cruise terminal"

Holiday Inn Downtown

Malaga Inn

Radison Admiral Semes

Battle House Hotel

and Renaissance Riverview

All of those have the stay and cruise package which may be slightly more pre night than a regular stay since they are providing parking and shuttle service.

Hope this helps.