I'm in South Florida (Ft Lauderdale). I think the club you are asking about is actually called Deenie's Hideaway, which is a swingers club. I've never been there but I've heard its pretty scary. More for the "older" swinger crowd. I've never heard of a place called neptunes.
If you want a good swing club in South Florida, check out Miami Velvet Swing.
http://www.miamivelvet.com I was there on friday night for a webgirl party and its really nice. Lots of attractive people and pretty much anything goes. I've also heard trapeze is nice but haven't been there.