I've never been inside a TC, but how much different could one be from a small TT on the inside?
I keep a welcome mat inside the door, and the bed is right there. Come in, sit down, boots off. Eventually the mat fills up with water / crud, so I open the door and shake it out outside. I wear wool socks pretty much all the time, so I don't put on anything special inside the tt. I also leave an old towel laying on the floor, that I can sweep around using my feet to soak up any puddles that may have escaped the welcome mat.
Regarding snow on the roof, don't worry about it. I guess if you get 3 feet overnight up there, well, maybe worry a little? Take the truck for a drive, let it blow off. The snow comes and goes on the roof of my little trailer, I've never done anything to clean it off.