Need some authentic tree ideas for a Japanese influenced landscape :D Is there a member of that asian genus Paulownia with the "impossible to kill" hardiness of the Royal Empress tree / Princess tree / whatever, but that WON'T get invasive or have the potential to become an ecological disaster?

I'm zone 6 (or 5 by some maps). Very hard to grow anything non-coniferous in this particular spot, which is why I need lots and lots of hardiness. Below freezing winters, often dry or even droughty summers, rock-filled clay for soil, and wildlife that likes to eat anything it can down to the ground.