Myanmar isn't exactly a super safe place at the moment and the November 2010 elections probably won't help.
I am wondering if anyone knows of a bus company that travels around through China and Laos or does a run-the-gauntlet style ride through Myanmar
Unlikely. I'm sure the Indian / Bangladesh border is open, and you might be able to cross between Myanmar and Thailand (maybe, sometimes, when they feel like it), but as far as I know the Bangladesh / Myanmar border is not only closed but is also more or less uncrossable anyway - very difficult terrain. Which is probably why it's a border anyway.
Does anyone know differently? about 10 years ago