I have the same name structure as you, including being known as CCCC.
I had my indian e-visa made out to AAAA BBBB CCCC DDDD. My ticket (and AY+ account) was in the name of AAAA BBBB CCCC and I lived to tell *)
Onw thing that differs is that I have set up AY+ and all other accounts with given name as "BBBB CCCC" and usually buys tickets as either "AAAA" or "AAAA BBBB" or "AAAA BBBB CCCC".
I've chosen that set up after finding that as long as the first given name is present on ticket / visa it is OK.
*) I never entered india per se, though.