Can I perform a boost action if when I boost my maneuver template overlaps an obstacle but my ship's base ends up safely on the other side?
Performing a boost does not count as executing a maneuver. A ship cannot boost if this would cause its base to overlap with another ship's base or an obstacle token.
It seems to me that this is allowed, and since this doesn't even count as a maneuver, I wouldn't even have to roll for damage.