Basically straight west from the beach at the state park. There are two trees, yes, actual xmas trees that mark the safest path offshore. I'm not sure how deep it is there and I can't confirm that people are catching antyhing there, most everyone is fishing much farther out. Don't go near the cliffs along the shoreline to the north, strong currents there make the ice unsafe. Just head straight west out of the park, then head north if you want to after going west at least a few hundred yards.
I'm planning on walking out Sunday morning myself. I am keeping an ear open for any close spots for perch and I'll reply here if I get any good info.