If we were to get a BB into AH, there are some things to consider.
Firstly, the aiming is different, making tracking systems on individual ships matter less than in RL.
Secondly, the ROF. The really big guns would have more than a minute between salvoes, while the smaller can go down to what, - 30 seconds? The same would apply to the cruisers, - our cruiser has 8 inch guns with rather slow ROF, while a 6 inch gun will fire every 6 seconds or so.
A faster firing gun, although less destructive, will be able to track faster.
Then, as someone mentioned, speed. Our BB will have to be about as fast as our CV. That rules out all the old battlewagons of the RN, unless of course we incorporate Battleship groups for interception and shore poundings.
So, to make us all happy, poor HT will have to model many battleships
Well, my vote would go to the KGV class. Why? Because they are rather average, with a decent ROF, good radar if that were any use, just enough speed, and historically, many ships of that class took part in surface engagements against equally strong ships. KGV vs Sharnhorst, POW vs Bismarck for instance.
BTW, did the US BB's sink other BB's in a BB to BB engagement? Not on the Northern hemisphere, but I'd like to know more about the Pacific.