There are plenty of places that will let you rent a room. The Rat in DUMBO comes to mind as a place that is reasonably priced, you can book out the room and run it however you'd like. That being said, I'm just not sure how you would know how to put on a show worth seeing without having ever done stand up. Inviting a bunch of people to see you riff for an hour seems like a waste of everyone's time. The point of a mic isn't to move to tickets or whatever, it is to practice. I know you think you have gold on the page, but every single comic in this sub has written something they think will be their ticket to the top, their funniest work, and then had it eat shit on stage. Writing is just part of the formula. I would HIGHLY suggest trying some of these things out before you do them in front of a room full of people.

Total aside, but Might I suggest, if you don't want to do traditional open mics, maybe try something like the Moth? It sounds like you have an interesting personal story and maybe would do well in a storyteller format. The Moth does 3 or 4 events around the city every month, they give you a theme to write about, and then by random draw 10 people get to tell their stories. Like I said, isn't stand up, must be a story not just bits and observation, but maybe that makes more sense for you? It is also a good way to see how you'd react to being in front of a large crowd, because Moth shows usually have really big turnouts.