If you rebooted Star Trek what starship cl from the 24th century would you give Captain Kirk as his ship?

If you were the one who rebooted Star Trek what 24th Century Starfleet starship cl would you make the Enterprise in the 23rd Century instead of the Constitution Cl? For Example would you you make Kirk's Enterprise a Galaxy Cl Starship and make that ship the first Starfleet ship in Starfleet to be commissioned?