Yes---No problem leaving the skin on. I like to Cure & Smoke it without the skin, because I don't plan on eating the Skin, and I figure no reason to cure & smoke something I'm not going to eat.
However it doesn't hurt anything having the skin on.
I don't know how thick your Belly is, but I'm sure 11 days won't be too long. Be sure to rinse it real good after curing, and give it a Salt-Fry Test before smoking it, just in case it has a little extra salt flavor.