realistic houses

Hi everyone I’m a pnm and I’m just wondering what houses I’ll likely be going far with for rush/ where I would be a good fit. I know to trust the process and not go in with my mind made up but I just wanna have a feel. I’m not a legacy, I’m from the northeast, my gpa is around a 3.35, but lots of AP classes, pretty good involvement and volunteer work, I would honestly say I’m a very attractive girl just being real, my parents are very wealthy and have a lot of connections, just not much that I see valuable in terms of rush, I’m struggling to find rec letters even after doing everyone people say to do because given where I’m from I’m jusy not connected to Greek life- what do we think? I’m also pretty good with conversation and making a good impression, but will my lack of Greek connection / Recs and being from so far oos hold me back?