Gotcha, didn't realize it was reasonable to just go diving through so many turrets. Thanks!
Particularly on the lower difficulties, this is often the best approach.... but look at the different turrets in your path before you run over them. Never try to pass directly over a missile turret, as it can squash you in a single monstrous attack if you do this.
There's a muuuuuuch better way though, which is to get a cloaking ability of some sort and bring it into the mission. Very first turn, use it. After that, crank engines to max, and make a beeline through to the goal. There's literally zero risk here; as long as you cloak on the very first turn, nothing will fire at you at all.
That being said, there's some definite problems with this mission type right now; I'd figured this was going to be the case, but this didn't get changed during the testing period. I'm gonna try to bring it to the dev's attention, because I keep hearing complaints about this mission type over and over again. Heck, just a few minutes ago someone I know was asking me how in the heck to deal with it.
Actually, I think I'm going to go write this one up right now, before I forget.