I'd use the auger to retire a bunny or a grouse, screw the ice fishing!
Seriously now, is it a lake that you have already fished in the summer or is it a lake that you do not know at all??
Points, bays and river mouths[ this one being dangerous] would be where I would start. Drill out 200 feet from shore and you should get into some muskies!! Just kidding. Round about fifty feet and check the depth. Most fish will be in the 15 to 35 foot areas. Of course the lakers et al will be out much deeper. In between islands would be a good bet also. Back bays will hold fish too.