35 psi is a tipical advice for standard load P-tires. It is the reference- pressure, wich is the pressure for wich the maximum load is calculated for reference-speed of 160kmph/99mph. Carmakers advice it nowadays often and dont calculate it anymore, I think for reasons of responcibility.
I once got hold of the European formula to calculate pressure, and went running with it, and now call myself pigheaded Dutch tirepressure specialist. Moast american towing vehicles have large tires with a maximum load that can carry almost the whole gross axle weight rating, so if calxulated , pressure for the P-tire would give about 26 psi. And after the Ford Firestone affaire, carmakers have become scared to advice this.
But this means that you dont need to highen up this 35 psi, it already has such reserve, that you can drive a bit overloaded and faster then 99mph.