Hello! I have slept in a motorhome with a self built woodstoves many many nights...lol Yes you can do it,yes it can be safe and no you are not crazy for thinking it...years ago there was no such thing as propane and natural gas...people lived with woodstove in tiny cabins with little to no safety in mind...with the chimny's they have today,and the know how /comonsence, you can safetly put a wood burner in a MH or TT. A friend of mine has did it for 5 years while he built his acerage...doesn't owe a penny on it and it's worth 375,000 Canadian...He couldn't have done it if he didn't live in his TT to save money.
He built his out of a keg! lol With a hubcap for the door that fits on the same way it does on a wheel...haha!
Here is a pic of another buddy who is living in a very small trail 1971 and he has an approved woodstove or profetionally built stove in his.
It's pretty big but he has never has a problem with it and took all the procautions checking wall temps etc etc....