I have an active base and I have to admit... I hate it. I always forget to pull out the cable and empty the two 9V blocks inside and it is only passiv useable, when I need it. 3 years didn't cure me from this mistake. Soundwise I like the Fishmans and pricewise would still be an option.
I actually started searching with DiMarzio. My ideas were like:
FRED - Satch Track - Pro Track
PAF 36th Anni - Chopper - Fast Track 1
I really like DiMarzios single coil sounds, especially the Area series and VV54 Pro, but also the Injector. Nevertheless with the humbuckers I have my selection problems (too many options for me ;-)). Tone Zone (sounds interesting) and AT-1 (higher output PAF 36th) are close to the Gravity Storm or Dominion which the DiMarzio Tech said are good to split. But aren't those too much output, compared to the single coil sized PUs?
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Cool! I guess one thing to keep in mind as far as the Fishman's go is that they sell a rechargeable battery pack to power them... so you wouldn't need to constantly be popping new batteries in if you go that.
In terms of the output of the DiMarzio's... yes, you MIGHT have an issue with matching the overall volume levels, but you MAY be able to mitigate this, in whole or in part, by playing with the pickup heights of the single-coil sized ones vs. the humbucker.
My Alder-body with maple cap Ibanez USBRG30 came with a Tone Zone in the bridge and a PAF Pro in the neck, originally. I swapped it out for the Petrucci "Awake"-era Steve's Special bridge and Air Norton Neck models... but that wasn't because they didn't sound good... I was just in full DT-worship mode. I have my MIJ Fender HM Strat setup with the Tone Zone and Humbucker From Hell Neck (with an additional HS-3 in the middle position) and those sound quite good in that basswood guitar (ala Petrucci's setup for "Images and Words").
As a comparison:
TZ - HFH = 375 - 226 = 149 mV difference
SS - AN = 390 - 270 = 120 mV difference
Given that those are stock combos used in a variety of guitars, my guess would be that, as long as you are 150 mV or less in terms of the difference, you should be fine. And like I said, you can use the pickup height as an additional way to dial in a little more or a little less volume to get them to match better.
Sorry I didn't go through the math for all the other combos you list, but here are the quick output voltages:
FRED - 305
Gravity Storm Bridge - 340
Dominion Bridge - 360
Fast Track-1 - 191
SatchTrack - 245
ProTrack - 275
The Chopper - 260
HTH!