Husband and I are considering a trip to Honduras or Belize and are curious as to what is the best time of year to go.
The very best? April through June. At least in terms of the weather being warm and dry. The critters are moving about the water column and life is abounding.
The broader question bears a much longer answer, as this region, Bay Islands and Belize, stands in a uniquely isolated position during Caribbean Storm season,
which runs in various forms from August through February. This is a much longer discussion and the two areas, although 90 miles apart, must be viewed differently at those times of year.
Also if you have any advice as to where to stay... we are looking for something comfortable, clean, and reasonably priced.
Here's the well reasoned and standard ScubaBoard answer: What do you mean by reasonably priced? What kind of daily dive access do you want? And so on, and so on... Too broad of a question. And even more so when you are inquiring about both "Honduras" (meaning, likely, one of several Bay Islands, each distinctly different) and Belize (referring to one of the many keys offshore).
Many variants involved in your question.
What are you specifically looking for out of your dive vacation dollar? Diving 5x a day or Margaritas in a hammock? Different answers.