I think you could probably do that, depending on where you want to be. I would definitely come more than once, or come for a month or so, in order to get a better feel for the possibility. Belize is not for everyone. I would initially start searching for properties on line, and find a good real estate agent that can show you properties when you arrive. There is no MLS and prices can vary widely. A number of properties may not actually be listed, but available by word-of-mouth. You can PM me if you want contact info for our realtor and Belize attorney.
Good luck in you ventures.