Thanks for all the feedback!
The reason I'm going for all drakes is that I honestly believe that just one drake in an otherwise relatively-normal group (even SURGElings are otherwise fairly routine) is inevitably going to be a massive spotlight hog*. I wanted to run a campaign focused on the weird-and-wonderful side of Shadowrun, and got my concepts down to this and a Mystic Crusaders game (everyone's Awakened and part of the Crusaders). Given I'd like to include some of the dragon civil war stuff too, drakes seemed like a better fit.
As it happens, my players all like the idea, but if they hadn't they could simply have played a character who hated being a drake and never transformed. That would have been a shame (and more likely I'd've gone over to the Mystic Crusaders idea instead) but not a dealbreaker in my group.
*: like playing the only Solar Exalted in a Dragon-Blooded game