It sounds like you have a bit of wrestling influence in there which is cool. What I think you're describing is a hammer lock, which people usually associate with bouncers and police officers pre-cuffing.
I'm actually partial to tummy down progressions because I spent a little bit of time training with an MMA team. It makes my grappling unique compared to my peers. People will get lazy trying to escape from me and wind up in what is arguably the worst possible position to be in.
Hexbear is so funny because even the person I've been involved with told me that I'm "bad with gender". Told them that's why I need trans liberation so I don't need to worry about it at all. Grappling is a system of increasing control over someone. Correct genitals optional. If you're having fun and can be matched against an interesting opponent the rest can get fucked.