The answer, is of course, none of the above. We should break new ground. The 23rd century is well covered, the 24th century even more so. And we should give wide berth to the 23rd era Abrams Trek, which is ongoing. The 22nd century has some wiggle room, but I think it's limiting to go backwards.
Thusly (definitely a word), I propose that the next Trek series take place in the early 25th century. It's far enough that we get a clean break and don't have to follow up on plotlines from TNG/DS9/VOY, but not so far as to make the future unrecognizable. We can keep the same societies, but see how they've changed. We can use new characters, but occasionally see what older ones are up to. Hint: Picard is definitely head of the Federation Diplomatic Corps.