As far as "ride", I don't know what you're expecting...these are tractors and have no suspension. Just realize what you're operating. We ain't discussing a Cadillac here...
Before adjusting the tire pressure, does your machine have a suspension seat? If so, have you adjusted the seat per your tractor's manual? Read under "Adjusting Seat". You might even want to go for the "Deluxe Seat" if you don't have one.
As far as pressure, what are you running now? Is it 34 PSI (use an air/liquid gage and the valve stems must be at the 12 O'Clock position when you check the pressure)?
If it is 34 PSI, drop it to about 25. BTW, you'll want the tractor jacked up when you adjust the tire pressure. Jack on a solid surface and position your floor jack under the drawbar bracket. Jack it just enough to clear the floor (1/4 inch is plenty). I suggest you go no lower then 25 PSI. Even at that pressure, your tires could break from the bead at a significant side load (traveling across a slope). Read your manual and determine if there is a minimum pressure before you reduce the pressure
If it's still too harsh after adjusting the seat and lowering the tire pressure...well, you'll just have to "man up" and realize that R-4's may not be the tire for you.