Meghan,first of all welcome to the Forum
I LOVE your avatar!
Your kitten is just a tiny baby,but I think your first step would be eliminating a medical problem...since you are sleeping and cannot catch him in the act,dipping his nose in the spot is not going to help.
If he is using the litter-box regularly otherwise,I think your only option is to close your bed-room door.Maybe someone else could give you better advice...
Usually in grown cats if this happens,it's a stress problem or possible bladder-problems,it happened with one of my cats,when he did not like over-night visitors.
I am assuming he's not neutered yet...
I too have hidden some problems from my husband,you are not alone