I run foam filled tires on my skid-loaders. Never a flat tire delay. I can work in any kind of debris and ignore the nails, I try to avoid slicing the tires. Because of the normal rough condition of skid-loader tires, they cannot be recapped.
Currently my Lx885 has large patches of rubber missing, I have literally worn the tires down to the foam in several places. Never removing the tires except for replacement saves wear on the threads in the hubs and the rim's holes. Worn out tires can be cut off with a Sawzall. Use a course blade for the rubber and foam, a fine blade for the steel cords of the tire bead. The rims are un-damaged and clean.
If I had $4K, I would go with a set of the solid rubber tires with the cross holes molded through the rubber.