Star Trek needs to come back on TV full stop.
A show set in the late 22nd Century dealing with the Federation's baby steps, would be choice. Open to guest and even recurring appearances from older ENT characters. A new cast, but at some point you'd see Archer as Fed President, bump into Shran, or maybe even uncover the conspiracy surrounding Trip's death. Obviously only after the series has been able to stand by itself.
Once it's set-up for year and hasn't been cancelled, go the Babylon 5 route and have a story arc that has a central figure whose history requires the occasional flashback to the Earth-Romulan War. References to Enterprise era events and prefigures whatever both 23rd Centuries have in common.
Since you could easily fit a saga between 2157 and 2233, it wouldn't really matter whether it was regarded as part of the original universe, or the new one.
Oh... and don't set it exclusively on a starship exploring deep space. Be DS9-like. Someplace fixed. Maybe spanning our solar system, or Alpha/Proxima Centauri. Have your cake and eat it, with experimental starship trials and fleet construction site nearby. The ability to credibly get back to Earth often and to outlying colonies under threat.