I also don't like my piggies sitting on top of pee so I have many fleece beddings and fleece pee pads that I change frequently.
Mine go to the bathroom in their hay tray, which makes cleaning much easier. I clean out the hay tray frequently, and hand wash my fleece beddings so I can see there is very minimal pee on the fleece. After washing the fleece, I soak them in vinegar to kill the bacteria.
Plenty of good veggies and clean environment will prevent the exotic vet trips, I hope.