To answer the orignal question....its the SPRING RATES that kill ride quality AND handling, if you use crappy shocks... you'll see more of a performance gain from getting a good set of shocks and STOCK springs. With that said, stiff springs and soft shocks is tolerable for some people i have 380 spring rate, and i think that's the upper bound for me. The GC street which is 300F/200R is good starting point, or perhaps 350F/250R match them with Koin's or KYB AGX, and you're good to go. As for bouncing on konis.... everyone mentioned you set the shocks too soft. if you want try 1/2 till firmest on the front and 1 turn till firmest on the bck....its a good compromise.

I think the Integra 3rd gen NON-ITR have externally adjustable shocks, so just adjust the shock from the top