If I were in you position, I would call a bunch of fly casting instructors in Phoenix and explain your situation with Belize regarding rod choices and ask their their rates for instruction.
Then I would find out what rods they have that you could try out during your instruction. It is likely that at least one of them works at a fly shop.
I would be also be surprised if none had been to Belize himself, since it is not that far from Phoenix.
It is not possible for anyone who's never even seen you cast to recommend a rod that you might like and could cast well. Instruction is not all that expensive compared to vacation lodging,flights and guides.
You will probably come away a better caster besides. EDIT added from here down
:As for the BVK, for one used to casting heavy lines, it is a very respectable casting rod. I've heard many stories about breakage though. I like the TCX's better, but I've been casting all weights in all actions, and all materials for a lot of years.
I also like the heavy old RPLX in 11 and 12 weights, but they require a concave hand path when casting to get the most out of them. However, they are very strong fish fighting rods. I do not like that same rod in lighter weights from a casting standpoint.