You would have to find a dive op that does tec diving, and I don't know of one in Belize (which is not to say that there isn't one). There was a long-time poster on this board, Peter, who taught tec diving on AC, but he closed his shop years ago and unfortunately passed away a few months ago.
The standard BH dive is to descend as a group to the lip, about 50 feet. Once everyone is ready to go, you then go over the lip and plunge into the hole and keep going until you hit 130. Level out, check out the wall and sharks and maybe swim around a stalactite or two. After about 5 minutes, you descend back to the lip and off gas there for about 15 minutes, then up to the safety stop, where hopefully the dive team has hung a few tanks, then out. The better ops will have plenty of staff on the dive to keep an eye on their divers, looking for any sign of trouble or narcosis.
Definitely a bounce dive. Not worth the risk or trouble to some, especially if they've done it before. I've done it three times and would gladly do it again. I enjoy the vastness of the hole, the wall that looks to stretch on forever and just the uniqueness of the dive.