you'll defo need to invest in a pair of long nosed forceps, as long as you keep the fish wet, you'll have a few seconds to get the hook out.
personally i have never had a carp being hooked too deep to remove the hook
the only other thing i can think is to use a slightly larger bait so the fish cant swallow it so deeply or alternatively use a shorter hooklength so the hook point will be buired before it goes down the throat.