Sounds like you're on the right track. The UTH should work out fine if you purchased one properly sized for your enclosure. Make sure you purchase a thermostat. Please, please, please get a thermostat (look at Hydrofarm's one, shoot for Herpstat thermostats) The ceramic bulb is a good idea, I actually need to pick one up for myself. I'm not a shill to any brand in the reptile industry, but my Fluker 8-inch clamp lamp is pretty decent, especially compared to the WalMart one I had before. I'd get a ceramic bulb, a clamp lamp, and angle the heat towards wherever your UTH is at to assist in creating a warm atmosphere for your snake.
I also feed my BP in a separate container, but I wait like 10 minutes after he gets it down to put him back in his vivarium. I'm probably doing it wrong, but I haven't had any regurgitation yet, so I guess it's all okay.
I don't really understand the rubbing. Do you see any stuck shed or translucent eyecaps (shed over the eyes)? As of right now my BP has a small patch of stuck shed that I can't get off for the life of me. I tried soaking, wet rag rubbing, and even ZooMed's Shed Aid. I sometimes see him rub the spot against his Habba Hut. Examine his head for any wounds or bad scales. If everything looks normal, I really don't know.
The stuck shed is on the other side, just after his head. It's noticably white.