Despite only going to Disney one day, you may want to consider one of the many resorts and resort-type hotels in the Orlando-Kissimmee area for your lodging. It's only about 30 miles from the Disney area to Winter Haven and, as the PP noted, there's not a lot of resort-type lodging once you get down below the Kissimmee/Celebration area. I can think of two, the previously mentioned Championsgate and the Reunion development - I believe that there's a Wyndham there. Those resorts, though are about 20 to 25 miles from Winter Haven.
You'd have a lot more choices just north of that area and could probably find something that's a lot less expensive, too (if that's important to you).
Dick Taylor