I know of the lake your talking about. I would guess there is 5-6in on most of it. Problem your going to have is the lake is a shallow bowl, with about zero structure. Correction zero structure. I've tried to ice fish it a number of different times......I came up with the conclusion it's not worth the effort, and ended up going to other lakes in the area that have structure and are easier to find fish. All the fish do is randomly roam there, it's a crap shoot. Plus it's shallow.
With a boat we just drive circles around the lake. It produces good walleye but it's kinda in the down years of its cycle.