I would not be comfortable with the idea of baking something while driving. I might however endorse using a crock pot and inverter while driving. Put it in the kitchen sink, so if it spills, it will be under control. Hopefully there will not be a accident that will cause everything to fly all over the cockpit!
The risk? Well as stated above, not much more than running the propane all the time and running the refrigerator. Yet I would worry more about a roast chicken flying out of the oven than the refrigerator burning anyone or anything.
The crock pot is making it less risk.
Fred.