Yeah, that makes sense and would work (pending GM approval, natch) just like you envision it. I'd okay it, personally, where I GMing the game in question.
But, be advised, it makes you a bit more of a D&D character and a bit less of a shadowrunner, in my opinion. Drakes already only kick-ass and are worth their points when they Hulk out and draw a lot of unsubtle attention to themselves, in a way that may clash with the stealth culture of many a Shadowrun game. Having that usual drawback and only having access to your Adept powers when you're big, green, and scaly, too?
That's gonna be asking for trouble.
