Been having a good with the multiplayer myself. My usual crew and I have also developed a knack for changing every damn name into a moosh of two words or, at very least, include 'bro' somewhere.
Brofiltrator is my favourite
I haven't unlocked the Drellguard yet but I've not been overly fussed as the abilities seemed to be a bit lacking compared to the Human and Asari. I'll now have to check it out.
The nice thing about the Asari Vanguard compared to the human is that its heavy melee is basically a Nova that doesn't deduct from your shields. This means that you can just bum around everywhere, charging at things, dropping your heavy melee and stealing everyones kills.
I'm glad to say you're quite wrong about the Drellguard being the only class that you can create your own biotic detonations with. The Drell Adept has Pull and Reave which, in that order, make a nice mess of anything without armour or shields.
The human Adept can also be quiet effective with pulling enemies from cover with Singularity and then sending off Warp or Shockwave. The cooldown is a major negative with that one, sadly.
I'm fairly sure it's possible with the Asari Adept too, using Status and Warp but I'm a bit unsure on that one.