The panacea to your issue is to follow your engineer's advice. Looks you'll have to invest heavily on your black cotton plot. If it were possible it would be better if there was a floor down there... whats the point of excavating and then filling it up. But then you'll have to contend with flooding.
For me I would go the pillar way with suspended structure,,,.. but don't give up
"..I am because we are. "― Ubuntu, Umtu,