I've actually given strategies on how DD's can work around CV's and how they can play in a world of aircraft on numerous occasions on these forums.
A lot of my strat with CV's revolves around not wearing my helmet too tight first of all.
SLOW DOWN, let the spotting occur, see where the enemy is, see where the enemy CV is flying, don't run STRAIGHT to a cap right away, shut your dang AA off the moment a battle starts, COMMUNICATE with your team.
There is A LOT more you can do, but this topic has already been derailed a bit too much. Careful making generalized statements, not EVERYONE is ALWAYS the way you think they are.
-Hapa