Big Block Suspension Question

When I switched out the all iron 340 (including exhaust manifolds) to a 400/468 stroker with Aluminum intake/heads/water pump housing, and tube headers I scaled them both on the chain falls, the lightened BB weighed 70 lbs. more than the small block. Both were fully equipped with alternator/power steering/belts/and fan. I installed 1.03 bars and the car handles better than it did with the SB and stock .875 bars although there is still some push in high speed turns, most notably left turns under power. 1.20 bars would likely get rid of the push but might also make it loose. Pick your poison, but loose can bite you by surprise and put you into the weeds before you can let off.