Not sure what the big deal in buying those chapstick things personally. I've bought 'lady products' for the wife many times and while studying the shelves for the right box feels a bit weird, no-one bats an eyelid at the till.
After our eldest was born I was asked to go to Boots to get some Kamillosan (nipple cream). In writing it down I spelt it the HRH Camilla way which made the assistant laugh heartily.
Another time I was asked to get some perfume called Ysatis. When I got to the shop I couldn't remember the name so I said, "It sounds a bit like Anaesthetist"... which made the assistant laugh heartily.