There is no such thing as the best T1 mission running bs in general.
Most non missile bs do struggle against certain npcs since they are damage locked.
Laser vs Angel / Minmatar. Hybrid vs Drones, Projectile vs Amarr / Sansha / Blood Raider etc are all relatively weak since a lot of damage is lost to high resistances.
Some fits i used over the years:
In Amarr space where you face very few angel missions
[Abaddon, PvE]
Large Armor Repairer II
Damage Control II
Domination EM Armor Hardener
Domination Thermal Armor Hardener
Heat Sink II
Heat Sink II
Heat Sink II
100MN Afterburner II
Cap Recharger II
Cap Recharger II
Large Cap Battery II
Mega Pulse Laser II, Scorch L
Mega Pulse Laser II, Scorch L
Mega Pulse Laser II, Scorch L
Mega Pulse Laser II, Scorch L
Mega Pulse Laser II, Scorch L
Mega Pulse Laser II, Scorch L
Mega Pulse Laser II, Scorch L
Mega Pulse Laser II, Scorch L
Large Capacitor Control Circuit II
Large Capacitor Control Circuit II
Large Capacitor Control Circuit I
Imperial Navy Acolyte x5
Imperial Navy Infiltrator x5
Both in Caldari / Gallente space
[Megathron, PvE]
Large Armor Repairer II
Damage Control II
Multispectrum Energized Membrane II
Domination Kinetic Armor Hardener
Domination Thermal Armor Hardener
Magnetic Field Stabilizer II
Magnetic Field Stabilizer II
Magnetic Field Stabilizer II
100MN Afterburner II
Cap Recharger II
Cap Recharger II
Cap Recharger II
425mm Railgun II, Antimatter Charge L
425mm Railgun II, Antimatter Charge L
425mm Railgun II, Antimatter Charge L
425mm Railgun II, Antimatter Charge L
425mm Railgun II, Antimatter Charge L
425mm Railgun II, Antimatter Charge L
425mm Railgun II, Antimatter Charge L
Large Capacitor Control Circuit I
Large Capacitor Control Circuit I
Large Capacitor Control Circuit I
In Minmatar space
Gyrostabilizer II
Gyrostabilizer II
Gyrostabilizer II
Tracking Enhancer II
Tracking Enhancer II
X-Large Shield Booster II
Multispectrum Shield Hardener II
Domination Kinetic Shield Hardener
Domination Explosive Shield Hardener
Cap Recharger II
Cap Recharger II
800mm Repeating Cannon II, Barrage L
800mm Repeating Cannon II, Barrage L
800mm Repeating Cannon II, Barrage L
800mm Repeating Cannon II, Barrage L
800mm Repeating Cannon II, Barrage L
800mm Repeating Cannon II, Barrage L
800mm Repeating Cannon II, Barrage L
800mm Repeating Cannon II, Barrage L
Large Core Defense Capacitor Safeguard II
Large Core Defense Capacitor Safeguard II
Large Capacitor Control Circuit I
All fits under 500m.
Raven / Typhoon would be the more obvious alround choices which free damage selection on missiles.