Yeah, stuckinthemud, I know how hard it is to get a satisfactory answer sometimes, but I do think you are laboring under a couple different misconceptions. In this case, about asymmetry.
So, measure the exact middle of the next bowstave you work. You have the two options of making it symmetrical, or asymmetrical on the grip and limb length. If symmetrical, you know the drill: mark middle, mark handle length, limbs and fades the same, and tiller it.
If you go the other route, somehow you ended up with this 4" number, and the difference shouldn't be anything like that much, unless you are doing it on purpose to learn something or just mess around. Take that exact middle, and grab the bow so the point of deepest pressure from your hand is right on that line. For me, that is essentially the fat part of my palm at the base of my thumb, and when I wrap my hand around the bow that exact middle line is sitting between my pointer and middle fingers.
If I now mark where my hand is, top and bottom, I maybe have an inch plus above the middle line and three inches plus below. BUT, the arrow has to pass somewhere, with or without a shelf, so above my hand I leave the thickness of an arrow, and a little bit more so I can see past the bow without the widening flare of the limb in the way. so, maybe an inch and a half above my hand before I start to widen the limb.
So, see how that worked out? From the middle of the bow, I now have a handle section, say 3.5" below the exact middle, maybe 4 so my pinkie isn't all up in the flares, and 2.5" above the exact middle, maybe a tad more, just enough room for a finger width, and a little arrow pass before the limb widens. That puts us right on a number you always hear; 6" handle section, plus fades, etc....
The difference in limb length then is not 4", but closer to 1-1/2", MAYBE 2". So, if you have enough length and width, that is SO much more manageable than 4" difference.
I made an experimental elm exaggerated Mollie once with grossly asymmetrical limbs and ridiculously long levers, at least 4" length difference, maybe 5", But that bow was quite long, I adjusted ratios of lever to bendy limb, and I made the lower limb bending section over 4" wide, more than half an inch wider than the top. It takes compensation like that.