You might have to dismount a tire to find it, but the rims should be stamped somewhere with max PSI and load ratings - you don't want to exceed those. It would also be a good idea to know how much weight is actually on your axles and use the proper inflation chart (load/PSI) if you go to load range E tires. For example, the load range G tires on our RV have a max inflation pressure of 110 PSI for max load carrying capacity. They don't need that much pressure in them on our rig because they're not carrying their maximum load (per the charts and the trailer tire specialists that installed them, we're running 100 PSI). Over-inflating them would cause less tire to come in contact with the road and result in a harsh ride for the RV. The first thing you need to check out, though, is your rims.
Rob