One of the problem with a 25th century show would be that the technology would be so far advance that it would be difficult to have any drama on the show, things would be too easy for the crew.
That's not really a given for a 25th-Century series. If anything, there should be new challenges that arise to create new drama. Truthfully, though, any new technology will have some kind of new limitation, or there will be someone else out there
that could take away any advantages it might have.