It is an interesting question.
I don't know the answer, but I have a feeling the Rebel Yell won't fit the bill - it's brighter/tighter than the HD for sure, but I think it's probably brighter/tighter than the NB as well.
You're talking about "heavier stuff", and (IMO) the RY is a bit lacking in bass for that. I'd also say, for what it's worth, that it's more of a Les Paul pickup than a superstrat one.