Jake E. Lee used SDS-1 in neck and middle in his Charvel so yeah if that is what you are going for, even the Virtual Vintage Heavy Blues 2 would be too bright, let alone the Injector neck.
Injector bridge would be a good choice since (1) it is more powerful and less bright than the HB2, (2) it does not hum, which comes in handy for the gainier sounds and (3) the magnets are Alnico 2 so that there is less string pull, which is important in the neck and middle positions. How bright it is exactly in the neck position I cannot say as I have only used it in the bridge positions of three different strats, although in one it was a direct replacement for the HB2. It is still a strat sounding pickup though, even though it does not have the typical ice pick in the bridge position.
Going by specs, FT-1 may be an alternative but I never played one. SatchTrack maybe - haven't played that either, though. Chopper is more of a hot PAF sound and not a hot single coil sound.
Hope that helps
Stephan
The Virtual Solo has Alnico 5 which has more string pull so it should be avoided for the neck position.