the dd might be too bright but then again the invader might not give you the best lead tone. I dont have much experience with these but i'm sure someone else with more info can chime in.
Randy Rhoads used a SH-6b (Distortion) and a SH-2n (Jazz) in his Jackson V. The polka dot V had some kind of DiMarzios. But anyways, the SH-6b should do the trick for thrash, you might just need to EQ it differently, or utilize an EQ pedal.