Sounds all a bit hard really. Our pool doesn't even have doors on the showers. A lot of gyms I have been to have see-through doors. I just strip off in the locker room, quickly wrap a towel and make for the shower. No eye contact, just get it done.
My pet hate is when people try make conversation while they and/or you are nude. I am very much in/out minimal fuss, no ones looking.
If you want to be really tricky you can kind of get dressed/undressed underneath a (large) towel. At least for the removal of underwear etc. We did this as kids on the beach all the time. But I couldn't be bothered now.