IIRC the HD neck is A5, 7.8k DC. It's very bright & clear. Absolutely superb
cleans & balances well with the HD bridge.
CS neck would work OK with the HD (CS neck is a great match for any of the high output bridge BKPs) - has more output & low end than the HD neck, will sound warmer & thicker (NB: Although I don't have that combo in a guitar I do have MM/CS & several HDs :))
I have a VHII neck with a NB bridge. VHII is very full & warm sounding - higher output than HD neck too. I guess it would work well with HD bridge (probably better than the NB bridge I have it paired with), but it wouldn't be my first choice.
IMO the calibrated sets are almost always a better option than trying to match different bridge & neck models. The product pages really don't explain how the neck models are totally different spec & wound to compliment the bridges (the specs listed are all for the bridge models).