Knotty is dead on. Chains are the only thing that helps on ice or hard packed snow, and it gets hard packed when the wheels spin because of the weight in front of it.
On my 420 with the 47 snowblower, I have two 52 pound wheel weights per wheel, and either 6 suitcase weights or a heavy scraper blade with 4 suitcase weights in addition to the chains. I am seldom stuck.
I admit to using the differential lock from time to time, and it would be a fine addition to any snow handling tractor. There are 420-430 rear ends with the differential lock for sale from time-to-time on the usual sites including WFM. I don't know if you can swap them to a 317 easily. I am sure it can be done with the right amount of engineering. Perhaps someone more knowledgeable can speak up.