If you raise the body without raising the engine I'd imagine you'll run into clearance issues. Not sure if this applies to H3's but I would think it would be the same as a Jeep since both have fans/fan clutches. When I lifted my Jeep Wrangler with a 1inch BL it raised the chassis, but the engine stayed the same so the top coolant hose got tight/pinched, the fan would rub the bottom of the fan shroud when off roading, and the CAI I had installed had to be repositioned in order for the intake to reach properly no to mention linkage problems with the 4WD system.
On a Jeep you normally wanted to do a 1inch Body Lift and 1inch Motor Mount Lift at the same time. That way all the equipment under the hood, wire connections, linkages, and exhaust hangers both raise the same amount causing no issues. On my Jeep I did a lot of custom work with a tummy tuck, 1/2 BL, but I ended up having to install a 1inch MML to keep everything under the hood lined up properly.
I haven't seen any 1inch MML's for an H3, but I'm sure Brown Dog Motor Mounts could make some for us! That way you'd have absolutely zero issues with wiring, fan shroud, coolant hoses, or linkages. You'll gain some clearance at the oil pan, transmission pan, and if you have it lifted in the rear your drive shaft angles will be closer to stock.
I may be totally wrong with an H3 vs a Jeep Wrangler, but I'd think raising them both at the same time would be better vs one or the other.