I know it's hard, but try not covering your poop. When it stays on top it, the smell makes humans really upset. (although like you, my poop does not stink). Their sense of smell is connected directly to their brains. They can't help but go and do something about it.
True, it will be embarrassing as we were raised to cover, like humans were raised to flush, but consider it a short term solution and you should be able to handle it.