weight will be the logical solution, I think. My TC 29 slides around on snow but if I raise the FEL a bit it usually will respond. I think on ice nothing will work ( maybe studded tires) . Add suitcase weights to front "bumper" . If you do not have any; borrow some from dealer or neighbor to try. Are your rear tires loaded? Maybe load front tires? Add weight to front rims?
Drive backwards all the time. LOL I have turfs on mine, in my opinion, turfs work better in snow and ice; I have not even used chains, we do not get the snow you get, but on occassion we get alot.
I wonder if a tire shop may be able to get some studs in your tires? I have seen people actually put screws in tire for traction ( short of course). Just thinking out loud.
Looking at your picture; I would assume that the blower is raised during your front driving problems. That blower HAS to be lifting alot of weight off front tires. Rear brake steering may make the best sense or add weights.