Or just go around it. The nebula would have to be very weirdly shaped indeed if it wouldn't just be faster to end run around it at 1000c, as opposed to slogging through it at less than light speed.
Seven: It is an inconvenient, but not an unsurmountable obstacle. We simply could pass through at warp 9.975. That way, you'd only need to be in stasis for 10 minutes or so.
Janeway: No. The nebula prohibits us from going at any warp speed. We'll have to trudge through it at impulse, which will cost us a month.
Seven: Why do you say so? None of the sensor readings indicate this.
Janeway: I'm absolutely
certain a deeper analysis will reveal this, even if it doesn't look like it now.
Seven: Ok, so let's go around it then. It would take 3 times as long ... but that's still only 30 minutes.
Janeway: No. The moment we attempt
that, we'll suddenly find that the nebula is thousands of light years wide. It will simply change shape.
Seven: In that case, let's just put the vessel on autopilot. The computer would be many times more proficient at piloting than anyone of us, and
if need be, the computer can still wake me to deal with the crisis.
Janeway (sighing): You just don't get it, do you, Seven?
Whatever we try, we'll find that the situation reshapes itself in such a way that the only workable solution is to go through this nebula the slow way, with only you and the EMH awake to steer and maintain the ship.
Seven: But
why?
Janeway: Because of the Evil Powers that watch us, Seven. There are many of them and their pleasures are ... perverse. They
want to see you suffer, to slowly become unhinged, and only scrape by within the barest possible margin of survival. In case you hadn't noticed by now ... they do this to us every Friday, between 19:30 and 20:15.