Nothing to contribute as it seems you have tired about everything imaginable. I would think some of the things you have tired could actually etch the glass and aggravate cleaning the soot off. Smooth glass I know can be a pain ( I have one like your I think - and burn wood in it) to clean. It would make seems that anything that would slightly etch the glass surface would give the baked on soot something to grip to and become especially hard to remove.