This was the rocket Corax fit I used - it had no problems in any of the fights, and never got below 40% shield:
[Corax, (00) Lady Vengeance]
Ballistic Control System II
Ballistic Control System II
5MN Cold-Gas Enduring Microwarpdrive
Missile Guidance Computer I, Missile Range Script
Small Azeotropic Restrained Shield Extender
Small Azeotropic Restrained Shield Extender
‘Arbalest’ Rocket Launcher I, Guristas Scourge Rocket
‘Arbalest’ Rocket Launcher I, Guristas Scourge Rocket
‘Arbalest’ Rocket Launcher I, Guristas Scourge Rocket
‘Arbalest’ Rocket Launcher I, Guristas Scourge Rocket
‘Arbalest’ Rocket Launcher I, Guristas Scourge Rocket
‘Arbalest’ Rocket Launcher I, Guristas Scourge Rocket
‘Arbalest’ Rocket Launcher I, Guristas Scourge Rocket
Small Anti-Explosive Pump I
Small Anti-EM Screen Reinforcer I
Small Anti-Thermal Screen Reinforcer I
on-paper DPS: 152.8 (141.1 with reload time), alpha = 411
eHP: 6472
lowest resist was armor kinetic at 25%, everything else was 30% or higher
cap stable (0.1 GJ/s)
this toon has 1393766 SP
edit: range on this Corax is 11 km, and with the range script it was 12 km, so all of my fights on this toon were within that range (i.e. 11-12 km or less).