It really depends. If you have some grocery getter with tall side walls upping the tire pressure can help some. But it'll still be a pig and always will.

With short sidewall tires, I tend to use the same method as the drag racers but on all four corners. Drive thru a shallow puddle and note the tracks left. narrow, center stripe lower pressure a bit. no center stripe up the pressure. track width pretty much matches the tread that's where you start. If the rear feels wiggly you're too low, if the front feels mushy your too low.

Get a different set of tire, do it all over again.