As long as the thread has been bumped, the newest class of Frigates has been launched and it is the Constellation Class. The Constellation FFG-62. The next two to launch will be the Congress FFG-63 & The Chesapeake FFG-64.
This suggests that the two after these will be the United States and The President to round out the original 6 Frigates of the US Navy. Both USS President & USS United States are currently unused. Obviously the name The Constitution is not available as the flagship of the fleet.
Traditionally, Frigates were named after Navy & Marine Heroes.
New thread of possible interest: What was the most important Navy Ship of all time?