There Currently is No Organized Play in Central America
It's difficult to prove a negative (that D&D organized play doesn't exist in Central America). However, I don't think that it does.
I searched for "Belize" on locator.wizards.com and was quickly able to find many locations offering organized play for other products, mostly MTG. This shows two things: that the search feature works in Central America and that Wizards does have organized play there. However, there are no D&D organized play events/locations listed.
Additionally, in the Adventure League wiki there are no Local Coordinators assigned to Central America. A single Regional Coordinator handles everything south of the US border. At the time of writing, Wizards has Coordinators in BelizeBrazil, Costa Rica, and Chile.
But There Can Be
WoTC does support organized play in Central America. If you love to play D&D and are interested in Adventure League, contact your [Regional Coordinator] 2 and start playing!