I am not aware of any, and I am not sure the trade-offs would be worth it.
There are a lot of different engineering aspects of aircraft design that anyone without formal training would not be aware of.
The experimental category is great because of the freedoms it provides but very often experimenting happens in blissful ignorance (before criticizing me for the use of the word ignorance, please look up the definition).
Tires are an important part of the landing gear system. They provide a lot
of energy absorption (when needed). Take note of the amount of tire deflection in the slomo portions of THIS VIDEO
as an example.
If you use stiffer tires (because of higher pressures or more plys), they are absorbing less energy. That means more energy gets transmitted into the gear leg and possible the aircraft structure itself.
A disheartening example is an RV-10 project that recently dropped 4 feet to the hangar floor when a lift failed. The main wheels were restrained by the lift and unable to flex when it hit the floor, so in this case the tires were the only thing available for energy absorption. The abrupt stop on the hangar floor resulted in major damage to the fuselage.
I would recommend not experimenting with higher ply rating tires. They will be heavier, cost more, and in the end could possible cause you problems that you may never have imagined.