A question for you. If we had kept the Enterprise as a museum ship would we have been able to name another active ship the Enterprise?
Yes. The ships are officially stricken from the Navy list when made a museum, and the name is available again. For example, there is an active duty Virginia class nuclear submarine even though the battleship is a museum in Wilmington.
As a practical matter, though, the Big E was such a famous ship that they might not have named a replacement even though they could.