You have: Marriott Biscayne Bay, Doubletree Grand, Radisson Biscayne Bay, Hyatt Downtown, Sheraton Biscayne Bay and the Intercontinental can be had for under $200.
You can also try Priceline and bid a 4* and you will most certainly get a good hotel for well under that amount.
Current bids show that the 4* Hyatt is going for around $90 and 3* Radisson is going for about $80. (For March stays. It also depends on when you will stay.) The Radisson overlooks the bay and is good for a pre-cruise stay but both need a taxi to get to the ship. The Hyatt has more shopping and "stuff" within walking distance. Both are close to Bayside Marketplace. Actually, all that I listed above are relatively close to Bayside via taxi.
__________________ Cruisemates Community Leader/Moderator
"There is a great difference between being well traveled and just having been to many places." ~Me