I would very much like the Pike show to be episodic without any big season-long story arc. But I would like the characters to be able to have their own personal story arcs -- not a complete reset every episode.
In a way, I want them to pretend it's 1965 and treat the show as if it had been picked up by NBC based on the first pilot. But I don't think you could do that literally without it coming out as a TOS parody. There would have to be a balance between retro storytelling and modern sensibilities.
I re-propose these titles:
Star Trek: Strange New Worlds
Star Trek: Five Year Mission