Arrowind-
if you have the lams cut at 3/16, and you reduce the limbs by 1/8 before you add them, you will have approx left to 1/16 to tiller with. Although this is not much margin for error, you might want to consider that almost all of the compression work is done in 1/3 of the limb nearest the belly, 3/4 of the compression work in the 1/5 of the limb nearest and half the work done in the 1/10 of the thickness nearest the belly.
You seem to be taking the harder road to gain 7 lbs weight , so I will assume that you are choosing the method somewhat as an experiment in building method and materials.
Have you considered reflexing the reduced bow before glue-up to take advantage of the "perry" reflex? Laminated designs can bring multiple factors into play for added performance.
Just guessing, but if you substitute ipe for hickory, and tiller for 7 lbs additional weight, your thickness will pretty close to where you started. I would be inclined to have a good tiller before glue-up. I have heard it said that doubling the thickness will increase the pull eight-fold. Maybe there a target weight to be figured for the back that would get you close to finished when you add the 3/16.