The best link I've found detailing some history:
Hasegawa 1/32 Ki-84 'Hayate' by Tom Cleaver
I don't think I've read about encounters with Franks. The last book I read that would have any chance of that was
Silently into the Midst of Things by Atholl Sutherland-Brown, 177 Sqn's history - there was reference to fighter interceptions but can't remember what they were (but all of the action was over Burma not China where the Franks were reportedly based).
It would be interesting to look into USAAF 14th AF reports as Franks reportedly flew rings around them. I guess they mean the P-38s and P-51s.