Improving traction is not only about tires, chains, and weight.
For a number of years I kept open a very steep, maybe 150' road to my back lot, using my 755 with FEL, turf tires and no chains. Now, this isn't an efficient way to work, but for a thrifty (ok, cheap)Yankee, it meant I wasn't spending money on chains or such.
Using the loader, make sure you scrape down to below the snow or ice. If you can't get below the ice, have some sand/salt to spread after you expose it. Push the snow downhill only. When you can't push anymore, fill the bucket and back up the hill (4wd engaged, rear diff locked) and dump the snow up there, keeping the path clear.
The other thing you need to do, if at all possible, is avoid plowing when the temp is at or near to freezing. Cold snow offers traction. Warmer snow packed by the tires-especially a spinning tire- gets icy slippery in an instant. And, as you've experienced, you haven't lived until you've slid backwards down a hill with three of 4 wheels turning trying to move you forward.
After several winters of such fun, I built a woodshed at the top of the hill so I no longer needed to make weekly trips down the hill for the week's supply of firewood.