One approach that COULD work with hard tires (especially if they’re hard enough that you can slide the kart, without getting excess side bite that causes you to hop, etc) and a difficulty in rotating the kart enough is to “toss” the kart into the corner and use the brakes to rotate the kart…
Hard to describe the mechanics of how to do it, but you basically want to brake real late and lock the rear end up just as you’re turning in… almost like you’re starting to put the kart into a spin, or almost like drifting… instead of letting the front end lead with the back following, you want the back end to do the rotating, by letting it slide… you may need to modulate the brake and throttle, with a little counter-steering, to get the weight transfer you need and getting on the throttle as early as you can on exit with a late apex.