Keep Connor Trinneer as Trip, dump the rest.
Switch from an unpside down Akira-Class to a modernised Daedalus-Class. Keep the sets, phase cannons, uniforms and all the props. Have deflector shields but drop the photonic torpedoes.
Oh and shift it forward ten years, just after the Romulan Wars and the formation of the Federation. Then include more aliens on the crew, with all the founding races having an equal number of personnel onboard.
Commander Austin Harris, First Officer, Deep Space Nine (by FltCpt. Bossco)
8.01 - Darkest Before Dawn
(Chapter 8 added, 12/09/2015)