If you're going to have BBs for base-taking, fire-support roles, then any of the pre-war BB designs will work...
New York Class (2 ships, Texas and NY) both were actively used in amphibious support roles in WW2.
Oklahoma Class (2 ship) but only gives you Nevada.
Pennsylvania Class (2 ship) but only give you Pennsy, as AZ was her sister.
New Mexico Class (3 ships, NM,MS,ID) all saw extensive service in amphibious support roles in WW2.
Tennesee Class (2 ships, TN and CA), " " "
Colorado Class (3 ships, CO, MD, WV), " " " there was a 4th in the class, WA, cancelled by Washington Treaty of 1922.
Anything from here on, NC Class (2), SoDak (4), and Iowa (4), are all fast BBs.
The big question is - do you want a BB that can keep pace with CVs? None of the pre-war BBs could manage 23 knots, where as the Treaty BBs could do 27 knots and the Iowas were rated at 33 knots. So, in theory, the only ship that could keep pace with the CVs would be the Iowas, or if you're willing to compromise, a 31-knot Alaska-Class CB.