Re: Deanna driving the ship...
Well you had a few seconds before the core breached, you could have remote piloted the star drive section into warp even a second or two at warp 1 would have got the stardrive section clear. Or you could have engageed full reverse impulse on the stardrive to get greater seperation.
But it should have been a curb stomb battle in favour of the Ent-D, a few full volleys of Photon torpedeos and firing all it's phasers should have easily beaten a BoP.
On the continent of wild endeavour in the mountains of solace and solitude there stood the citadel of the time lords, the oldest and most mighty race in the universe looking down on the galaxies below sworn never to interfere only to watch.