Hi there, welcome!
For the sounds you've described, I'd venture a Warpig bridge might be a bit of an overkill for you, and a bit too compressed to give the big variety of sounds you're clearly after. Don't get me wrong, as a metal pickup, it just can't be beaten, but I'm not sure it offers quite the versatility you're looking for.
I'd recommend going for something a little less compressed, with a little bit less output for the bridge - a Nailbomb or Crawler might be a good place to start. I've used a Nailbomb previously, and it's a very versatile pickup indeed, with a decent ampunt of output and a very organic tone. I think you're probably on the right track with the Cold Sweat for the neck (going on what I've read - I've not used one), but you might also like to consider a Holy Diver neck. It's a very smooth, rounded, clear sound, which sounds lovely for cleans, and really sings for solos.
Hope all that helps.