@gremck I think that you can book a room wherever you would like and LSAC will help to cover the costs for it, but I haven't used it so I don't really know for sure.
Yes, echoing the above point that LSAC will reimburse you for a hotel room if you fill out the LSAT Assistance Request form indicating that you don't have a private/quiet place to write the test. There should be a yellow banner directing you to the …