I don't have a toothbar either, but I do have a home made cross between a toothbar and manure forks that works wonders. I have a light tractor (
B7100), but have found that it has enough weight to chew up ice if I do things right.
I welded 4 pieces of 2" angle about 18" long to a 5th piece about 3' long. I have a 48" bucket on my little loader. The main piece looks like a letter E with 4 bars instead of 3. I took another 3' long piece and clamped it to the first one and drilled through them both. Then I clamped the E to the bucket with the teeth sticking out about 10" or so from the cutting edge of the bucket. I drilled the bucket for 3 bolts through the holes in the 3' long piece and placed the second one beneath it, using the second piece to reinforce the bucket. I also drilled through the 4 teeth and cutting edge, bolting there also. The leading edge of the 4 teeth was cut at about 30 degrees above the horizontal. This rig works great for picking up "used hay", breaking up ice, getting under logs to lift them, hauling lumber, etc. etc. It basically extends the bottom of the bucket without adding sides or much weight. The teeth also make very handy places to hang or hook chains from the bucket.
I had the steel laying around, but the thing only took about an hour and half, maybe two hours to make and I'm far from a metal working expert. I thought it was well worth the time and effort.
I can use it on ice either forwards or backwards, but I have found the most effective way is to dump the bucket completely so it actually points slightly backwards, then lower it and take some of the weight of the tractor, nearly lifting the front wheels. Then I back down the drive, steering with the brakes when the wheels don't have enough traction.
Alternately, I can lower the teeth at a slight angle, again putting tractor weight on them, and slowly drive forward, gouging grooves and chunks out of the ice. I do all this in low range, usually first or second gear. I intentionally go into the gravel beneath the ice, mixing the gravel with the ice chunks. I have to make about 3 or 4 passes with my little tractor to chew it all up, then I can run over it with the back blade a couple of times, mixing the gravel and ice chunks into a pretty rough but level surface that no has been unable to climb yet. If it starts to get smooth, I just hit it again before it gets glazed and it doesn't take as much work.
My driveway goes up about 25 or 30 feet while curving through woods for several hundred feet, then gets steeper and goes up to the barn. I'm not sure about the heights and distance involved, but I am sure I can get up and down in the cars and 2wd pickup all winter.