Hey man,
Sounds like a tough situation. First, I think Sadie is right that men don't generally look at anyone else
Second, you need to put your safety first.
If you are seen as a guy in the rv park by basically everyone, there aren't sketchy men with the feeling they might get violent on you bc they know already you are trans or the shower curtain situation is so bad they truly might see you and you can't stand different and change that possibility, you basically, reasonably feel safe, use the mens. Notice I didn't say if you feel comfortable bc I think it will be uncomfortable for a while using the mens.seems to me thats part of transition.
If your safety is an issue in using the mens, don't use it.while men rarely look and women might get scared of you, women will likely just yell, men might beat you. Sucks but thats our culture for you. Can you figure some way to do like a solar shower in your own place?
I did hat in a really old rv I lived in.the bathroom floor got fitted with a drain that I hooked up aplumbing tube and made that drain outside..total pain but it was private.
Or maybe the city you live has a pool or gym where you can buy showers for cheap, go as yourself ie a man and do that, ask if theres any dividers first obviously.then keep a towel right there for around your shoulders, dress and undress in the bathroom stall.I know two guys who used locker rooms that way pre surgery.anyhow best of luck.