I am not a belizean but as someone who has had an accident and seen the inside of to many hospitals I would suggest getting some insurance from a travel company before you travel.
I hope that of course your holiday goes well and trouble free but if something does happen you wont want the added worry of costs. I am a Brit and am lucky to get free Health care like everyone here in the UK, but when I stayed with friends in Florida and their son was in hospital I was shocked at how thw costs added up. I couldn't believe that they even charged for air freshener!!!
Be on the cautious side and bet some insurance.
Have a graet holiday