You want my honest opinion? Find a new doctor! Sounds like this one doesn't know what he is doing! You don't get rashes from menopause. And for him to just assume that without taking any hormone tests or anything is ridiculous!
What did the rash look like? I get rashes during the winter time that make me itch like crazy. I thought there was something wrong with me too. I went to a dermatologist and he told me it's just dry skin because the humidity levels drop in the winter. So he has me using lotion several times a day and I am fine.
Of course, you could have had a rash from something else, but surely not menopause. My goodness! And steroid cream would clear up just about any rash. I honestly think you should go to a completely different doctors office from now on. If you are worried about early menopause, then you should have hormone tests done to determine that.
Good luck!