There is a Hobie fleet at Spray Beach Yacht Club on LBI. They have a very nice facility with mast up storage and nice beach to access the bay. Of course you do have to join the club.
There is another Hobie fleet in Waretown, NJ on the mainland side of the bay across from Barnegat Light. I haven't been there in years but they used to sail out of a place called Smitty's.
Go to http://www.catsailing.com/division11/
for contact info on these two fleets.
Other than Spray Beach YC the only other launch facilities I know of on LBI are the munipal ramps or another yacht club. There are a few marinas and you might be able to negotiate an arrangement there.
I know of a few other places to access Barnegat Bay but they aren't on LBI.