Trevair wrote:The official Stinson guidance is to use your approximate gross weight divided by 100. So flying at 2000 pounds gross weight ends up at 20psi. I stick somewhat close to this with my 8.50s.
But, using that logic, a heavier airplane would run less pressure....

I think not.
I believe 35 psi is recommended for Goodyear 8.50s on 185. You won't have to worry about slippage, at that pressure.
But, if you are going to run lower than "recommended" pressures, you need to take some precautions.
First, when you mount the tires (you do mount your own shoes, right?) clean the rims carefully with some solvent, and the inside beads on the tires. Some folks use a bit of adhesive on the tire bead as well. I've never found that necessary, but can't hurt.
Now, insert the tubes with lots of talcum powder into the tires, and assemble the wheel halves into the tires. Start inflating, aligning the valve stem with the hole in the rim. When the tire fills the rim, keep inflating till the tire bead pops onto the rims. Check that everything is where it should be, then continue pressure till it's well up there....60 psi or more. Now, leave the wheel and tire alone for 24 hours, or more if it's convenient.
Now, decrease pressure to your intended operating pressure, and mount the wheel/tire on the plane. Use some white paint (pastels if you're that type) and put a "witness mark" across the tire and wheel in one stripe. Pre flight action hence is to inspect the witness marks, and verify that the tires haven't slipped. If they have, increase pressure.
Always carry a pressure gauge in the plane....always. And, frequently test pressures.
I'd run at least 20 on mains on a 206. Pump em up to 25, then watch them. When they hit 20, rinse and repeat.