If it was me, I'd go straight for the Black Dog set and see what it does. But then, I don't tend to mix and match, even though I have enough BKPs to do it now - I kinda like the pairings they put together, they always work for me.
But, if you were definitely going mix-and-match, I think I agree with Agent Orange
I have sets of Stormy Monday, Mule, and Riff Raff.
Both the Stormy Monday and Riff Raff necks are "brighter" (clearer) than the Mule neck with my guitars and kit. I've found them pretty much equal on cutting through a mix, but in a different way: the RR is a harder bright, the SM a sweeter bright.
As you've used the word "bite" I think I'd lean towards RR for this, but my personal FAVOURITE is the SM. If you're just after some nice bite when the neck pickup is full open, I'd say RR is it. If you're also after lovely sweet cleans that cut through bass, keys, other gits, but also sound fabulous when the guitar is played on its own, then I'd look at SM. RR covers that as well, but not so gorgeously - I'd describe the RR (both bridge and neck) as "drier" sounding with a hard cutting edge, the SMs sound/feel more organic and luxurious, but they still cut (out of SM/Mule/RR, they're the best at playing strat parts if you're wearing a Les Paul).
In my mind I keep comparing the three to kitchen knives (this might make sense, might not!
):
Mule - A knife with a serrated edge, rips through the stuff you're cutting
RR - An all-purpose straight edge knife, cuts through most any stuff when sharpened, it's kinda hard and gets the job done
SM - An expensive meat knife, slices through the material without you even noticing, kind of a silky feeling, perfect straight edges to the cut, and you can cut thinner slices
- you wouldn't use the meat knife on crusty bread but, equally, the serrated knife and straight edge knife aren't going to go through raw meat as quickly and as cleanly as the meat knife.
