Thatch gets out to the Blue Hole in about two and a half hours and provides lunch, free sodas, fruit, and pays all park entrance fees. Caye Caulker is about the same time frame to get there. The fastest we ever got out there on a dead calm day was one hour and fifteen minutes but that was very unusual. We usually get back in an hour and a half though.
Ecologic and Amigos Del Mar and Aquadives all do it from San Pedro. Frenchys probably does it from Caye Caulker.
Certainly the best dives out at Lighthouse are nowhere near the Blue Hole. It is practically a given that you will enjoy your other dives much more than your Blue Hole one unless you are very interested in stalactites and seeing a few sharks. I have had many many people tell me that they would have preferred to have done an extra dive out at Lighthouse other than the Blue Hole after seeing how spectacular the other dives were. But if it is on the must do list, then the Hole can be a pleasant enough dive and is certainly different than your normal Caribbean dive.
Many dive ops that are insured by the recomended insurance company of PADI want you to be Advanced OW certified to do the deeper 130 feet dive but some ops just ignore that and hope you dont do something stupid at those depths. Nitrogen narcosis is common on that dive but divemasters are generally very vigilant of people who they think may have problems.