There's a Schilltron that might be able to do the trick, with multiple artillery tubes plus a standard attack.
But if you really want to blow through an
entire Battle Lance's worth of rerolls, the only possible solution is the
Planetlifter. The text for a Battle Lance says that at least three units have to be of Skirmisher, Brawler, or Sniper roles, and that at least 50% of it has to be Size 3 or higher. Well, that fits.
From the errata document:
Artillery Attacks while Airborne
An airborne unit can make artillery attacks, but only against ground targets (a unit or POI). In addition, only the ART-AIS or ART-AC special abilities may be used and the attack must be indirect. Other artillery attacks (other artillery types or direct-fire Arrow IV) can only be made while grounded. Airborne artillery attacks apply a +1 to-hit modifier.
If the attacking unit is on-board (including an aerospace unit with a flight path on the ground map), it follows the artillery rules as normal. A unit with a flight path may choose any point along the flight path to make the attack from.
If the attacking unit is on the abstract aerospace Radar Map, it may make the airborne artillery attack from the Inner Ring. This attack will have a flight time of 1 turn.
So, you could (quasi)reasonably have a situation in which the Planetlifter has been engaged by an enemy fighter over the Central Zone. You may use Lucky to reroll the initial engagement roll, the to-hit roll for the artillery launched at the ground map, the to-hit roll for each bomb, for the lawn dart check, and then for the break engagement check. [blank]
EDIT: Double bonus: that's all without actually even having a standard attack.