I was there last September and we could not find any hire A/C
There used to be a club there but it is now closed.
All I can suggest is go to the Antigua and Barbuda website and post a message.
We can Highly recomend HOMES for a great local cooked meal ask any Cab driver it is in St johns Harmany Hall is one of our Favoraites on the East side of the Island although last Setember it was closed for refurbishments. The New Cricket Ground at the Airport also has a great new Sports Bar good food in lovely surroundings.
Hve Fun