I just looked at the product pages - I can see why you're confused guys! Doesn't seem to be a lot of difference.
I never looked at Slowhands because I loved Rory Gallagher and, although I appreciate him, I'm not mad keen on EC. Not very scientific, but that's how I decided :?
I'm not sure anyone here has both...
What I would say is this: my very first "I WANT TO SOUND LIKE THAT" was back in the late 70s when I first heard Made in Japan. I try on and off... and I've never really managed it :(. But all strats and all strat pups I've tried get me vaguely close. Recently I've seen film of Blackmore (The scandinavian nights Deep Purple footage, the Rainbow in Munich 1977 gig, and some of the Blackmore's Night stuff) - and I'm reaching the conclusion that Mr Blackmore is one talented bloke, and most of his sound is in his fingers - he could probably get that sound out of my rig as is (I wouldn't let him scallop the fingerboard on my strat though!)
My only suggestion is email Tim/BKP, but I seem to remember that at least one of you has done this already? What suggestions did you get?