Over the years I think I've seen just about anything that could be use to keep a carb de-iced used in one way or another. Nearly all the normally aspirated a/c engines were forced by the FAA to use exhaust heat in one form or another but the automakers got realy ingenious at times. For liquid cooled engines, running a coolant line thru the manifold was common (took forever to do any good if it wasreally cold!). Several tried using exhaust gas piped around the carb base either in the manifold casting or in the carb casting itself (usually plugged solid after a couple of years). Jeep uses an air intake tube from the exhaust manifold with a vacuum controlled diverter valve to allow the hot air to be shut off - damned if I cansee how it specifically addresses icing, tho.
BTW, there have been several certified inverted flight carbs over the years. I flew aStinson so equipped 40 years ago and early model (late
40- early 50's) T-34s were also rated for inverted flight with restrictions on negative-G duration. Of course, some jet trainers I flew had similar restrictions but those were based on fuel pick-up considerations rather than burner supply (the "donkey dong" in the central tank would hang and gulp air).