The injected Lycoming in the Cap 10 is occasionally a bit cranky to start when hot, but usually starts alright if not primed. As for the engine stopping during an aeros sequence: in theory, I'm told, you can dive to 150 knots, set the throttle half open, set the mixture to rich, then crank the starter whilst rolling hard to port but I have not tried this...
Welcome to the upside down club BRL. As I've said before, if God hadn't wanted aeroplanes to go upside down, he'd have made them helicopters.