I've run those tires on Huskys and a couple Cessna 185s. I have never had one slip, but I've always run the pressure between 12 and 20 psi.
Frankly, no matter HOW low in pressure you run these tires, you're not going to improve their performance much in terms of their being able to roll over rocks, etc. These tires are heavily built. Thick sidewalls, thick tread, and hence stiff. So, even though you run low pressure, the tire itself can't flex enough to really make a huge difference.
This is why the old Goodyear Airwheels and the current manufacture Alaska Bushwheels utilize a tubeless design, with VERY flexible sidewalls and tread. The Goodyear 26 inch tires were designed for the Goodyear Blimp, which uses these tires as a tubeless installation, with very different wheels than are used on fixed wing aircraft.
I think you'll find that running tire pressure on these tires much below 12 psi is pointless, from a performance standpoint, and you increase the risk of slippage.
There are a couple things you can do to help prevent slippage, including lightly abrading the wheel where the tire contacts it, and the tire where it meets the wheel, and applying some rubber cement to both prior to assembly. And, applying slippage marks is essential on any tube type tire if you're going to run relatively low pressure.
The Goodyear tires are a great tire, and will wear like iron. But they just aren't going to be as flexible as a Bush Wheel.
Heavy braking isn't the only potential cause of tire slippage. Touchdown on pavement exerts a HUGE initial stress on the tire/wheel assembly as well. Braking can certainly be problematic though.
If you're going to run your tires at a lower than "normal" pressure, you should include a tire pressure check in your pre-flight regime. At relatively low pressures, just a small change in pressure can cause slippage. Changes in temperature can easily cause this, if you're running 12 psi or so, and go from warm hangar to -20 or so as an example. Don't forget that tires lose pressure over time from air moving through the rubber. And, with the heavy sidewall Goodyears, it's really hard to determine pressure by looking at them.
MTV