In that situation, it would be near impossible to catch your breath underwater. The dehydration you probably had from a night at Rum Runners, combined with the physical exertion of waiting on the surface in rough seas, combined with the anxiety of a deep dive...means that you are lucky to be alive. I wouldn’t have dove after a night of too many drinks. I absolutely wouldn’t have gone underwater after the initial start you described.
Next time that happens, just call off the dive and chill out on the boat.