Weight in the bed helps quite a bit.
With the exception of the few weekends/year that I'm actually on the ice I store all my icefishing equipent in the bed. It's a perfect fit; sled/shanty, gas auger, fishing equipment, etc. I'm guessing that all added up it's over 250 lbs. maybe even more. Not a lot, but enough to notice the improvement in traction without too much of a penalty going back up the hill.
After we got the new driveway and my wife insisted I stop using the tire chains I learned to plow downhill only, which really wasn't that bad, and in fact reduces wear and tear on my dear old '55. Kind of a double, win-win, except when it's really icy (more often than I like) and I slide off the side and onto the lawn, IMO due to the lack of traction with the rock-hard tires.
This tire search actually all started last year when I broke a front axle shaft plowing and couldn't even drive back to the shop in 2WD, even with momentum from starting on the plowed driveway. I dragged it with the Suburban without issue and then winched it toward the shop until I had the rear tires on the plowed concrete apron and drove it in from there. My wife, the ever practical one with no love for this truck, (ever since she opened the door to get in and a mouse jumped out of the open door, narrowly missing her as she jumped away and nearly fell into a snowbank) asked why I don't just plow with the Suburban. Well, I don't think I need to explain my reasons to anyone here for an answer to her question, but I just gave her a blank stare. So, for now, the next step, if I do anything, is better tires, no studs, no chains. But, I did look into a type of "plastic" tire chain, but my home-made shop-built test-to-see-if-it's-worth-the-$$$ resulted in broken test parts and not much better traction.