Why even reboot anything. Why not make films to other Trek related (Starfleet-) content, without using the enterprise, but within the established politics of the 24th century?
They could make up a crew year after year till they hit one with a good review and stay with it for some films. This way we could explore the Trek Universe more and see how other people (besides the well trained super starfleet soldiers) work in the future. There are other points, like more freedom when it comes to continuity.