It's a "club".
All you have to do is open up a hetero club. Then, if they shut you down, sue them for discrimination.
If you win, you will get no money since the city has none, but they can give you some empty factories or a bunch of vacant land. You could then sell that to the queer clubs.
Indianapolis used to have(and my still) a 'swingers club' that was pretty much left alone. Everybody knew what was going on upstairs, but it was a private club open to members only and you had to be an adult to join so the city looked the other way.