It's difficult to say, but extreme snow requires both cold air and a lot of moisture. An ice age climate is a drier climate, and since in any case the ice cap climates are among the driest climates on Earth, it's safe to assume that many of the snowiest spots now will not retain their status.
However, many snowy spots now will retain permanent snow cover after the initial onset, because the essence of an ice cap climate is that the snowpack doesn't melt in summer. What little snow they get after the initial onset of permanent snowpack will never melt. So even though ice sheets may be miles high, annual snowfall will not be high. Antarctica is the best example of this. Canada will become much like Antarctica, in terms of the ice sheet, cold, and dryness.
The American Desert Southwest was one of the exceptions that featured a wetter climate, with more storms over the Sierra Nevada than Alaska or the Cascades. The Sierras would if anything get more moisture than they do nowadays, so I'd say in an ice age they would be among the snowiest places on Earth.
There are also the New Zealand mountains that are probably among the snowiest on Earth now. New Zealand wasn't completely iced over, so it's possible that storminess increased there as well. Whether it increased snowfall is very doubtful. In any case glaciers expanded down in altitude during the last ice age.
As for how many inches, the Sierra Nevada routinely gets several hundred inches of snow per year now. If moisture and cold air increases I wouldn't be surprised to see many spots that get 1000 inches per year.