i have a vh2 bridge and a cold sweat set.
cold sweats can certainly deliver all varieties of THE METAL :) i've used it for maiden and detuned industrial experimentation.
for brown sound, i don't think the VH2 is quite enough on its own to nail it. some sort of modulation pedal is needed into an old marshall. my alder body is pretty close, but i think hard ash would nail it. i was surprised how easy it was to get this sound, or at least really close, considering its meant to be a difficult to get voodoo tone.
i think the cold sweat bridge might get brown-ish. but the nailbomb with the A5 magnet might be a better choice. you don't need much gain i think.
all the pickups you mentioned sound good clean, obviously the VH2 will be more traditional. perhaps i'd suggest the default A5 nailbomb, which i have only tried a few times and not on my rig - so a very guarded suggestion from me