Ships & Modules

May or may not work out as well for you... but.

Rigs:
2x Small Core Defense Field Extender I
1x Small Anti-EM Screen Reinforcer I

High Slots:
7x TE-2100 Ample Light Missile Launcher in high slots with Scourge Light Missiles.

Mid Slots:
1x 1MN Y-S8 Compact Afterburner
1x Limited Adaptive Invulnerability Field I
2x Small Azeotropic Restrained Shield Extender

Low Slots:
1x Damage Control II
1x Micro Auxiliary Power Core I

Granted even with the AB running its still fairly slow... I personally see close to 50km missile ranges and was able to take it through combat anoms with four missile sentries, a half dozen destroyers, a cruiser, and a couple dozen frigates without the tank failing. I also took it through a level 2 Damsel without the tank failing.

Kick on the adaptive, the AB, select something solid to orbit at 25-30km and if the shields go down to about 15% get out.

You should have close to 3K shields with 48% thermal resist being the weak point. Should be able to take you through a fair amount of the trivial PvE content. Though, the CPU requirements are going to be a bit painful, you'll probably need CPU management IV to make the fit work.

Edit:
Technically if your skills are high enough you can ditch the Auxiliary Power Core for a Type-D Restrained Power Relay for a touch of extra passive shield regen. But this really runs you close to not having a stable capacitor if your skills aren't high enough.

I came up with two fits, I think I like the first one better for more damage. I don't really like the small ASB, it runs for 14s and then needs a 60s reload. That said a dessy in lv1s you should only need it to top up shield occasionally. I don't know about the performance in lv2s.

the second fit has an MSE and a utility mid, I threw in a missile guidance computer, but that could be swapped for many other things. I'd probably go with a resist amp to whatever rats I'm fighting.

again for lv1s doesn't matter much as you should be 1-2 shotting everything, and be fast enough to avoid most incoming damage. for lv2s I'm just not sure haven't run them in forever. I think you should be mostly okay either way as long as you keep your speed up. Not sure the MSE will give you the staying power for some though.

[Corax, LML alpha]
Crosslink Compact Ballistic Control System
Crosslink Compact Ballistic Control System

1MN Monopropellant Enduring Afterburner
Small Shield Booster II
Limited Adaptive Invulnerability Field I
Small Electrochemical Capacitor Booster I, Cap Booster 200

Arbalest Compact Light Missile Launcher, Caldari Navy Scourge Light Missile
Arbalest Compact Light Missile Launcher, Caldari Navy Scourge Light Missile
Arbalest Compact Light Missile Launcher, Caldari Navy Scourge Light Missile
Arbalest Compact Light Missile Launcher, Caldari Navy Scourge Light Missile
Arbalest Compact Light Missile Launcher, Caldari Navy Scourge Light Missile
Arbalest Compact Light Missile Launcher, Caldari Navy Scourge Light Missile
Arbalest Compact Light Missile Launcher, Caldari Navy Scourge Light Missile

Small Ancillary Current Router I
Small Anti-EM Screen Reinforcer I
Small Anti-Thermal Screen Reinforcer I

[Corax, LML alpha MSE]
Ballistic Control System II
Micro Auxiliary Power Core I

1MN Monopropellant Enduring Afterburner
Medium F-S9 Regolith Compact Shield Extender
Limited Adaptive Invulnerability Field I
Astro-Inertial Compact Missile Guidance Computer, Missile Range Script

Arbalest Compact Light Missile Launcher, Scourge Light Missile
Arbalest Compact Light Missile Launcher, Scourge Light Missile
Arbalest Compact Light Missile Launcher, Scourge Light Missile
Arbalest Compact Light Missile Launcher, Scourge Light Missile
Arbalest Compact Light Missile Launcher, Scourge Light Missile
Arbalest Compact Light Missile Launcher, Scourge Light Missile
Arbalest Compact Light Missile Launcher, Scourge Light Missile

Small Ancillary Current Router I
Small Anti-Thermal Screen Reinforcer I
Small Anti-EM Screen Reinforcer I

I have used corax in pvp before, you can almost alpha a thrasher in 3 volleys clean off the field. If he's running at you full speed he won't have the agility to align out before getting smacked the 3rd time to death.

[Corax, Corax long range]

Ballistic Control System I
Ballistic Control System I

Peripheral Compact Target Painter
Peripheral Compact Target Painter
5MN Cold-Gas Enduring Microwarpdrive
Missile Guidance Computer I, Missile Precision Script

Light Missile Launcher II, Scourge Fury Light Missile
Light Missile Launcher II, Scourge Fury Light Missile
Light Missile Launcher II, Scourge Fury Light Missile
Light Missile Launcher II, Scourge Fury Light Missile
Light Missile Launcher II, Scourge Fury Light Missile
Light Missile Launcher II, Scourge Fury Light Missile
Light Missile Launcher II, Scourge Fury Light Missile

Small Ancillary Current Router I
Small Processor Overclocking Unit I
Small Auxiliary Thrusters I