rear shock choices? (asphalt)

Ive been having trouble getting weight to transfer back off the turns. Im running a 3200lb street stock with mopar circle track leafs. the turn i have trouble with is pretty flat, the other end has more banking and causes less problems. currently i have a pair of heavy duty stock replacement shocks, but when i checked them this week they compress harder than they rebound. so I know i need rear shocks, we are allowed to run bearing mount shocks, but ends must be welded. in the past I did well with RCI "medium" on both rears , but im wondering if the rears should be softer on this car, being its a bit lighter? one softer than the other?

Im hoping that the knowledge of some on here can keep me from buying several sets of shocks.

Thanks guys!
Author: chrisII