I have a heavy 30 Fordor with a trunk full of tools and spare parts in the rear. I have the American Classic radial tires run 50 psi in the rear and 45 in the front. Modern tires, including the American Classic radials, can take 200 psi, if they have not been damaged, for instance by running them flat.
The trick is to go for a drive and then put your hands on the sidewalls. They should be warm to the touch but not hot. If they are hot the air pressure is too low. The tires can be damaged if the pressure is too low. The 35 psi comes from the bias ply tires which are stiffer and can be run at a lower pressure. The handling is better with the higher pressure.