CVN-81 has recently been procured as part of a two-carrier buy with CVN-80 (USS Enterprise). As the hull has now been officially been procured, naming will likely occur within the next couple of years, depending on how fast the Secretary of the Navy wishes to act.
USS Enterprise was a good naming decision and I would like to see legacy names used for future carriers.
USS Lexington and USS Saratoga are both available, with no ships using those names since the early 1990’s. USS Ranger is available as well.
USS Yorktown has been available since the mid 1980’s.
USS United States was to have been the name of CVN-75, which ultimately became the Harry S. Truman and the name is still available.
Wasp is currently in use but Hornet is available.
I would personally be happy with Lexington or Saratoga.