Well, I'm not a Trekie by any means because the force is strong in my family. But, I always watched ST and dig the movies, especially the reboot. I think, basing a series off of Kirk as he goes through the ranks (like the new movies) would be sweet. Give it the more bad-ass look like the new movies.
Honestly, I think if they did the right mix of casting, made it bad/kick ass in action, a new reboot would work on CW.
I would equate that to Stargate SG1, which started out on Showtime then got cancelled and sold to Sci-Fi (or SyFy). Probably wouldn't work as well on a premium channel due to a lot of people not wanting to pay for it. Granted they are afforded an extremely larger amount of leniency as opposed to local and cable networks, it probably wouldn't last.
I'm all for it though, I have all the premium channels (HBO, Showtime, Max, etc.)