I am already using the max I feel safe about inflating them to. I believe they say "never exceed 35PSI when seating the bead" and I try to keep them around 30-32psi
Then the walls must be broken down from too much weight while under inflated at some time in the past. You shouldn't have much flatness on the bottom of the tire with your loader totally full of dirt or manure. Same if you are carrying a tree across the bucket if the hydraulics will lift it.
Something isn't matched up. Either not enough air or tires not rated for the weight you are subjecting them too.