Dynamic suspension behavior is not an easy thing to get right. You have all of these different states to consider, plus combinations thereof: acceleration, braking, turn-in, mid-corner, corner exit + acceleration, heave, roll, etc... Depending on your suspension geometry and construction you can have all sorts of different behaviors during these different handling states: Rear wheel steering? Bushings or other elements that deform in some instances (cornering, say.) but not in others (braking, maybe?)? Camber gain or loss during cornering? Yadda yadda yadda. You can read the press releases for every new model year of the enthusiast grade cars and there is always some new bit of wizardry that makes for better performance across the board even though the car has inevitably gained weight.
I am not mentioning electronic stability control systems because I am assuming that's beyond reach for this project.
Maybe lifting the entire suspension off of something that's in the window for the specs you're after is a solution? If you went after a Porsche chassis, for instance, you could even go fully aftermarket for the pieces due to the support they have. Those aftermarket pieces also address any shortcomings the stock parts had. And in Porsches case they also make a full line of 'motorsport' bits themselves. Ditto for Subaru, Toyota GT86, some BMW's, Corvette, etc... (Apologies for not including YOUR particular hotness.)