The Resurrection actually comes around the year 2420, early 25th Century. She would be the last refit of the class. My concept of the ship is that during the height of the Dominion War, all viable Constitution Class hulls were brought back into service, given upgrades and refits to all system to bring them up to the technological level of the rest of the fleet. After the war, any ships that survived remained in service. The refits during the war were mainly to all systems, with very little changes in her appearance if any. The Resurrection represents a major refit to the class, while still preserving her design aspects.
As for donating the ship to your story, I don't see why not. I could create a set of custom registries for you if you'd like.