The whole point of the svcenario is that whatever you do, you'll have to accept that you lost.
But let's brainstorm about your "clever" approach. Let's stick to the original scenario because it's more simple that way.
We have a Connie. They have three D7s. Two is pointing at us, one is pointing at the Kobayashi Maru. They know we are coming, so they are prepared. They obviously intercepted the distress call. So they are not just pointing at us, they are prepared. Let's add to this the firepower of the D7. Disruptor cannons on the narcelles, dual disruptor on the body and a torpedo launcher. That's only its front. And they have aft weapons as well, most notably an aft torpedo launcher, what the Connie lacks!
Now, it is clear, that if we make any hostile move, the Klingons (let's call them Hostile or H1, H2, H3) will act as well. H1 and 2 starts firing us, H3 will fire instantly on KB. So any move which doesn't disable H3 instantly means the destruction of KB. Not to mention that a hostile move in the NZ means war.
Andre falsely starts with the presumption that if he releases warp plasma, he can get rid of H1 and H2 because KB is out of their firing range. Why would it be? Especially if we're counting with torpedoes which have a very long range! So even if we disable H3 and make H1-2 unmaneuverable for a short while, they will be able to fire on KB. Or even worse, on us! And while we are fired upon, we can't extend our shields, because they would collapse. You can extend your shields only if they are not under attack.
We can't reroute warp power to shields or our warp drive will be disabled for a short while and we can't get out before our shield collapses. We can reroute weapon power to the shields, but obviously it's not the brightest idea either.
I woN't continue now.
Kobayashi Maru is an unbeatable scenario because you should have to do too many things and even things which contradict to each other (strengthen shields while keeping warpdrive up and running, making fancy stuffs with the deflector and firing weapons) at the same time.