TreadWright makes a tire w/ what they call Ultra Grip which I think is the same idea as Green Diamond.
I have a set of 35's on order and they have 37's and are looking into a BFG Mud treat design (but only for 16" and 17" wheels I think).They are very easy to talk to and they are retreads like Green Diamonds. One thing is all tires 35 and larger are out of a two piece mold ( 33 and smaller three piece) and may be a little tricky to get balanced. But for 4 new 35's shipped to my door for about 460 bucks
