As much as I love DS9, I wouldn't want Series 6 to be a sequel to that fine series. I feel as though the finale put a pretty neat lil' bow on that saga, and I'm content with that. I have had very mixed feelings about the novels, in fact....Captain Ezri? Nope!
If there is a Series 6, I want a new century (25th or 26th), a new ship (for chrissakes, does it have to be called "Enterprise"?), a new crew (no legacy characters, please---I'm not interested in seeing the adventures of Mayweather's great-great-great-great granddaughter), and a new status quo (maybe the Klingons are UFP members, but the Andorians are not---something like that), as long as they're "exploring strange, new worlds", it's all good. Get a veteran actor or actress to play the c.o. and some hot young up-and-comers to round out the crew, get some good writers, and you're off and running............................
You're not thinking like a producer. Any producer worth his salt who is given the reins to the Trek "franchise" is going to capitalize on the success of the new Trek films. They are not going to go backward and restart something from the prime universe that, in their minds, nobody really cares about, has run it's course and is now effectively over. Now, with this new universe, they don't have to worry about being consistent with 40+ years of what came before it. They have a fresh start, and can tell fresh stories that are more than just the "aliens/planets-of-the-week-that-we-visit-once-and-never-see-again-or-care-about-again" stories that was what killed Trek to begin with.
WRONG!!!
Any producer worth his salt is only going to take a Trek tv series to implement his vision. He will have no more loyalty to the Abramsverse than the Bermanverse.
He'll have loyalty to whatever looks like a winner rather than a loser. Fair or not, Abramsverse = winner and Bermanverse = loser. A producer in theory could just forge a new reality and gamble that it will succeed on its own. But look at TV now, in general, and CBS in particular: the fall season is awash in safe stuff like cop shows and family-oriented vanilla sitcoms with very very little whiff of anything risky.
Even what passes for sci fi shows are vanilla and safe: a show about a family of superheroes. A show about a superhero who just wants to be with his family (boo hoo). A show about an FBI agent investigating paranormal phenomena. Real bold there.

If Trek gets back on TV, it will be in the least risky form imaginable, and that's riding the coattails of the movie success. But sadly I think even that is too risky for the current cowardly state of TV, and CBS is the least risk-taken entity in the TV biz right now.