People say Lauderdale is expensive, but there are less expensive spots if you know where to look because there are so many docks around...especially for monohulls.
I have been thinking about just such a catamaran
dock for another client with a 46-footer. Offseason (now) Las Olas city docks fits near your budget
but is not so great for hurricanes.
For year round if you don't mind being on the river I could find a spot for you at that rate.
Or maybe you could help me out if you found a good spot?