If they kept it similar to SNW I would watch a spin-off with Wesley as lead, but I would much rather see a show with none of the legacy characters. I have enjoyed his take on Kirk in the appearances we've seen so far, but he could just as easily be a different character without changing much of the story.

I would personally enjoy seeing something new, like a series on a small exploration/medical ship. No huge stakes or galaxy ending crisis happening, just one little ship solving problems around the quadrant. Maybe transfer a few of the SNW specific characters like Ortegas and La'an if they want continuity, but a brand new cast would be great too. But that's just me, and Paramount didn't ask me to be a writer!