Many inquiry posts on this (and other) boards reflect this quandry.
My "favorite" Caribbean Resort (CCV) steadfastly refused for years to do "happy hours", just for the same reason that many States have barred them. Accessability leads to overconsumption. The resort made a choice- it was up to divers to also make that choice by selecting the resort.
When you boil it down, there are precious few "dive-dive-dive" vacationers out there. Most folks want a little bit of everything. I have seen this on many ski trips run by clubs and coucils as well. The sport is one thing, but the vacation is quite often perceived as a "total package".
On one end of the spectrum is the cruise ship diver. Look at it from the ocean's perspective. Twice this week this diver flopped in, swam around, then left. In between times he climbed rock walls and wished he could still shoot skeet off of the fantail. He entered the water as an A Group diver each time. Sayonara.
Or the diver that does his one, two... maybe even a third each day then goes out and drinks like a college kid. Most vacationers fit close to this category. Two dives a day, a warm shower, maybe a hot tub, a couple of cocktails and nighty-night.
Certain (and very few) Caribbean Islands demand more than a "Friday Off-Gassing" island tour, so you really don't need a car, nor should yuou expect to find any real island culture that doesn't have MTV as a soundtrack.
Jaded? Yes I am, but when I pay money to travel, I am there to do what I can't do back home. I can sit on the back porch and drink beer all summer, I can go to the local Zoo (or whatever) If I am travelling and there is truly a unique non-scuba activity that can't be done on a offgass Friday", I'll consider it, but peer pressure and alcohol are not a factor.
I'll be doing 5x a day and making sure that night dives are scheduled.
Not everyone is looking for the same thing, and I say, God bless 'em, it's just really unfortunate that posters don't come to the boards with that as part of their profile, or at least, in what they post by asking for recommendations. I do find that most partiers underestimate their "down time" and overestimate their bottom time.
That said, more than "operators" who offer such diversions, maybe it is a better querry to ask which ISLANDS and locales offer such diversions?
I can think of the Tubing thru the Caves on mainland Belize, or from the Bay Islands the mainland excursions that include white water rafting or visits to the jungle ruins and pyramids. Some resorts offer sailboats and motorized watersports, all the way up to Club Med.
Now that would be a good choice for a resort that also offers diving, Club Med or Sandals. I remember a time when they were a resort that offered something else entirely, but times change and bodies sag. I think Hedonism II is the next to accept ARP Cards.
That brings up another point- the dive traveller is getting older. This is simply not a poor man's sport. True, you will have the traveller who has a West End Roatan Budget and wants info on other bargain location in the Mar Caribe. It is usually a very short thread. A lot of overuse of the words "reasonable" "affordable" "on a budget" etc., much like the unwillingness to do a reality check on their own "party quotient".
I cater to the posters and individuals that I dive with who are the dive-dive-dive types. That's the key- you gotta find the folks that move at your tempo.
I recently did a group from TX and we went to a remote destination in the Philippines. It amazed them that I did every possible dive, over a period of 10 days that totalled 45 some dives. A few were not far behind. Funny thing, that hondo diver group was pretty tight knit socially while on scene. Others jumped on bus trips into the 'rain forest' tours, coming back- all they could do is ask about the dives they missed. Seems like the tour was a bad choice compared to what they missed. I don't know, I have no basis for comparison other than their reports of "I'd rather been diving".
Everyone should get what they want. After skiing for 50 years I will say that we have, hands down, the best skiing conditions and infrastructure anywhere in the world, right here in the US. I still do Euro trips, but skiing there is (and should be) secondary to the experience.
There are resorts that offer some diving. Then there are are dive resorts. There are some resorts that think of themselves or portray themselves incorrectly. Some are Dorian Grey types.
You have to know what you want, what you are, and state it as such.
but overall correct. 
