I had a bit of a giggle when I saw you typing error: ‘public’ hair. Yes, that is ultimately what it is when you don’t shave. I have the same problem. The rash is as good as a neon sign saying: guess who shaved in a very private place yesterday?
I used tea tree oil on the effected area, and it helped tremendously, but I had laser therapy that solved the problem eventually.
Ps. Not a good idea to shave everywhere. The hair will only grow back darker and courser.