hmm, you cover most types of combat with your enemies. I don't want to preach a fleet list, but I will say, Drakh are not, in any way shape or form a brawler fleet, If you get sucked in against abbai, you will die, if you get sucked in against Dilgar or Narn, you will probably die.
the drakh have a couple of distinct ships. Raiders allow you to zip around your enemy, hitting them with precise beams, while staying in weak arks (the abbai and Narn don't understand the concept of weak arcs!) the other drakh ships, the cruisers, have even better beams, and better GEGS, and the luxury of hull 5! they do well coming in slowly, concentrating fire. 2 Light cruisers Concentrating fire, can take out a whitestar more often than not, and have a decent chance of criting anything, a cruiser can do it on it's own, but both ships are still vulnerable to fleets with good beams, Vorlon, shadow, centauri, Minbari. Drakh have to hit hard and fast, any prolonged fight UNLESS the enemy has been badly beat down, is doom for the drakh. remember you also have a cheap scout to redirect what you can't caf, and to lower stealth on the boneheads. Due to the fragile nature, don't be afraid to jump out of a battle to save your ships. chances are, you have hurt your opponent enough to cost him lots of RR!, likewise, you have Advanced jump points, so where scenarios allow it, destroyers and cruisers coming from behind an enemy can work wonders (this is the only use i can think of for the fast destroyer). The one ship I can offer little to no good words for, is the Carrier, it just plain sucks. if It had carrier 2, I would say it was ok, but as it stands, it's mere fodder.