You could increase the spring rates, which improves turn in, at least on a tiger, also there should be Carrera shocks available for the Alpine as well as
Koni’s I’d probably call QA1 and ask them seeing as they are Carrera. the spring controls the weight and the shock dampens the oscualations? or when or
how fast the roll happens, up and down movement etc, you might also consider double adjustable shocks that you can control both the rebound and the bump,( compression and rise) and as Gene said urethane bushings are the way, to go in the suspension.