While not disregarding what happen in ENT, have another go at a pre-TOS series.
This. I've long wanted to see either a series set mid-way between ENT and TOS, in the first few years of the 23rd century, or a show centered around the actual launch of the Enterprise, with Captain April at the helm. If you go by the dates set in the old ST Chronology, this would be 2245, twenty years ahead of TOS, allowing it to look both familiar and different at the same time.
Never happen, I know, but I still think there's a lot of interesting gaps to fill in between the two existing shows.