I know it is very tricky to get a L bail out, specially if you fly a fighter. A L is seldom alone and very soon the whole X pack love to destroy the player ship.
A have a stress-free trick:
Get a M7 with flak (no cluster) and fly slowley trough the whole x group. This even works in X-sectors fine. Just avoid Q's, (or bigger, of course) they hard to kill without getting damage and just cost you time. I would say, at every 3-5th X- fighter group (a bunch of L,M,N) destroyed, there are 1-2 L or M left in blue. Nothing to do, just fly. Let your turrets do the job.
I would prefer Astraeus Hauler. Have 2x2 flak on top and below. You may mount PBC on left and right, but this kills the L too fast. The flak is perfect because after the 'right' hit there is enough time to switch to blue before the next flak shot destroys your (blue) target. The Cerberus have 4x2 flak, this could be too much power. You may mount only 2 here but AH is the faster ship.
An alternative is the Springblossom also with flak (Terran ...shockwave....). In the Springy you are so fast, you are hard to hit. But I guess the Terran flak do not cause bail out's as often as Agron M7 flak, no matter if you attack X or anyone else.