Owen,
I have seen depilatory creams out there specifically for facial hair, however they were more geared towards women... I am not sure how well they might work for full-growth beard/moustache. I believe Nair is one that produces such...but do read the directions carefully before you buy it.
I certainly do not recommend using regular Nair on your face or even close to the pubic area. Most especially if it is left on too long, or if it touches sensitive skin, it burns ....like, OUCH!! Good luck !!
Valerie