I've used a Woods 9000 on a 3710. It's a good BH, but I'm presonally not a fan of their frame mount. In my opinion the BH hangs too far off the back of the tractor and I don't like having to take the 3PH apart to put on the BH. You might check out the Bradco BHs as well. I hear they are more expensive, but that their frame mount holds the BH tight to the rear of the tractor and does not interfer with the 3PH components. I don't have first hand experience with one.
Others on the site have exactly the combo you are asking about (AndyR, if I recall correctly).
Peter