Mayan Princess, has room 13 (if I recall correctly), has a queen bed in the sleeping area, a hide-a-bed in the living room and also a single bed in the living room, could be perfect for you. Also Room 15, is a normal suite with a bedroom area separated by the kitchenette from the livingroom area. The living room area has a hide-a-bed. But Room 15 also has a separate small bedroom with bunkbeds and a dresser. Just tell them what you need and they will accommodate you.
Hotel del Rio has a large cabana that will sleep 5 comfortably. Has 2 beds but must have another spot for the 5th person, so I'm assuming that there's another bed or sofa bed in there also.
Just a bit out of your price range, but very nice large comfortable rooms, are Suite #11 & 12 at the Blue Tang.
Best of luck, hope you enjoy your stay. By the way, even though these places all have kitchenettes, there's no requirement that you cook.