I have a couple of BK HSS sets, and for what you are describing, I might be tempted to go with a Crawler/Irish Tour set, which would give you a lot of range with a good drive on the singles (SRV), or a Rebel Yell/Mothers Milk set, which has more midrange push from the HB, but a more vintage hot single coil sound.
You really need to know how the guitar sounds accoustically too. The hollow will mellow it a bit, but the maple neck will be brighter. I have a hollow Strat with an Irish Tour set in it and it works great, but I also have the Apache's in a maple neck Strat and I think that is my favourite.
I didn't suggest the Apaches because with the hollow body I am not sure how they would perform, but if you really want the thicker mid sound, then the Black Dog/Slowhand mix migh also work. However if your guitar is dark sounding then I wouldn't go this way, I would go RY/IT in that case.
Sorry if I gave you a lot of options, but the accoustic sound of the guitar is hard to guess from your description.