A new crew in the JJ verse might work, with possibly the occasional cameo appearance by Kirk n' co. I'm not sure the fanbase who got into Trek through JJ's movies would be ready for yet another reboot of Kirk (and the casual viewers the networks want to attract probably even less so), and the studios certainly can't afford to pay Pine, Quinto & co a high enough salary to get them to stick to a TV show for even a season. That's my guess anyway.
That said, I would be more than happy for Paramount to pick up Star Trek Continues and make it an official series. I want more than one episode a year!