Hey bowzog, you got it right with shoals, humps, and structure.
I'm a rookie anglers who's tried lakers thru the ice only a couple times, and the following is what I found worked so far.
The best tried and tested set-up is a splitshot, hook, and minnow. Depending on the size of the lakers in your lake, buy the size of minnows accordingly. I usually start try with a minnow on bottom, and if my ff are marking them cruising higher, I add one more hook about 5' above. Usually when you have lakers, you might have Lings & Whitefish in the same lake, and having a minnow on bottom might let you score on these fish too.
If you're jigging, a half/half Williams, size 40-60 are a good choice, Mr. Champs, Vengulars, and banana jigs also work.
My gf caught a 10# with a pearl white w/ pink dots banana jig tipped with a minnow and I got a 6# ling and 4.5&5# laker on my Williams with a pearl on a treble, tipped with a medium sized minnow.
If you see those clip on floats, they're good strike indicators to have. I had 2 hits where the float went flat, and finding it odd, I reeled in the slack, and set the hook...these lakers picked up my minnow off bottom, and came up.
If the lake you're in is very deep like ~100 fow, then look for humps/shoals at 45-60 ft. Having a good depth chart/map of your lake would definitely help.
Make sure your rod is on a secure holder, or you might have to say bye, bye to your set-up
Good luck on your laker hunting, and I look forwad to your report.
VB