Take your tire to a dealer that foams tires. If he can do it when you get your tire back it will be literally "bullet" proof. Foaming tires is a little costly, but once you do it your done with the problem for good.
One thing about r-4s in cold weather, they easily come off the rim. Reason unknown, so you really should check your air pressure weekly.
I priced a new tire for our skidsteer, a bigger sized tire and heavier ply than your tire and the dealer came in at $150 for a new tire mounted. Ide shop around . . . .John