As anyone who has a vehicle knows, you cannot unequip if attacked to defend yourself, and I was nearly killed several times by pursuing greens and yellows, until I learned to focus on a defense strategy. Hope these tips help you, as I have not died once, even to reds, since employing them.
1. Set up a quickbar for driving buffs.
2. Buffs are:
a. shield ac buffs
b. + hitpoints buffs
c. runspeed buffs
d. evade, dodge, duck buffs
e. health and nano regeneration buffs
f. agility buffs to jump higher
3. Take off all bracers of shielding/reflection and damage shields buffs because everytime a monster gets hit by one it restarts his chase-you-down timer.
4. Take off all aggro enhancers, since the aggro enhancers enrage your selection even if not in combat.
5. Set agg-def slider all the way to def, so you will not be spinned around to face your opponent, and it increases your evades.
6. Stay on autorun and steer with your right mouse button instead of arrows because you will turn smoother and not risk turning to far and getting into range of the monsters jaws.
7. Try to run in a straight line, even jumping over objects if you can, as monsters can pass thru alot of items even if you cant.
You may think this is alot of trouble but after a couple of runs it becomes habit and quick to set up.
Note: Don't forget to reequip your bracers and whatnot and reset the agg-def slider before next mission!