I'm pretty sure the Manticores are actually faster. Especially since the Dragon in that mission has a crippled afterburner.
The Dragon is more maneuverable though, so dogfighting is possible. However, the best solution is probably to wind your way through the Lucifer superstructure to confuse the AI and its collision detection, then jump out.
Protip: Your speed is adjusted to 40 +/- 2 when you jump, so try getting it as close as possible to 40 before you actually hit Alt-J.