I'd be hesitant about this method - nice simple idea and cheap, but will exert nasty forces on the ice in its weakest direction - tension. Winching up and at the same time vehicle loading down as it tries to climb up and out of the hole. Will force the ice into a "S" shape between the hole and the truck which if far apart can be OK but don't do it close...
Also only works if ice and slush/snow is thin enough. If the base ice is 12-14" (minimum safe depth for clear ice and a 8000-12000# truck) and there's another foot of slushy overflow on top of that you'll be wet to the shoulder. Any more than that and you can't reach the anchor pipe to recover it as described.
Bear in mind my experience is in areas with 8 months of ice, 20-40 below temps and 3-4 months of useable iceroads on 4-6' thick ice... and we get 8" to 3' of "overflow" every spring...So my comments may not apply to your situation and climate.
Check out RTL transport in Yellowknife (the original Canadian Ice Road Builders - they do recoveries of huge equipment through the ice every year...the early season 'scouts' also add "whiskers" to vehicles so if they fall through they only go as far down as the frame - kind of the same depth you are describing. Maybe shoot them an email and ask how they get those guys out if the ice is to weak for a tundra buggy or a Cat - AND if the BV-206 is unavailable....