The only way to achieve that without making the gearing taller and also increasing rolling weight, is to fit smaller wheels.
225/45/17 or 205/55/16
The trade offs of taller profile rubber are worse handling, and less choice of top end sports tyres. Most are 18" and above now.
Or you can stay with 22/40/18 but do some research into tyre brands that ride well. I found ContiSports or Conti Premium Contact rode noticeably better compared to the usual suspect Sports tyres I.e. Bridgestone Potenza, Eagle F1s, PilotSports, Pirelli P Zero et al.