I got curious when I read about the thoughts on slicing your carvings to gain greater height etc., and thought I'd run a real quick experiment.
In short summation.. this is do able. I'm including the ptn files I created in this experiment, the screenshots of the actual stacking in Designer, and the final mpc file.
To keep things simple I just did a 4 slice stack up for the carving. For 20 minutes effort its not bad.
###Files pulled to avoid copyright issues