Remember, that epilogue scene in To Brave the Storm was set in 2186. A Choice of Futures is set in 2163-4. So it would take a while to get them to that point.
So basically in your story we get the following:
Trip's still undercover
The Aftermath of the War.
Starfleet as we know it today coming together
I'm sure there's more I'm forgetting.
Do we get to see a new Enterprise get commissioned as well?
I'm also curious to see how it went from NX to NCC and why...