It looks like you want something with more output.
Of the pickups you listed, the only one I am familiar with is the DiMarzio Injector neck. In the neck/middle positions it is indeed louder than an average single coil and can keep up a bit better volume wise with a medium output humbucker in the bridge. I only used it with 500k pots. It still retains a stratty character. Besides that, it is humcancelling.
The only BKP single coil I have hands on experience with is the Slowhand bridge. Based on your description, the Trilogy Suite could be interesting.
Cheers Stephan