I agree with every thing the other folks have said. They know the lake. I also understand if your going anyway, you still have to find something for the young one to do.

A compromise. Have the kid stay in the no wake zone around marina's and bobber fish. Examples: at Alligator 2 in Wolfe Creek, work the bank on the far side from the marina. At Jamestown, in the no wake, work the rock walls on the left side or right side or behind state dock in the no wake zone.
Grider Hill is the same, look to the right as you come down the ramp. or Across the lake at the shoreline and rock walls.

I agree with all, the boat traffic is heavy and a lot are party folks. So error on the side of safety and stay in the no wakes areas.

Another thought, if you have a boat, tow the canoe/kayak out to one of the creeks, get well back in, and use your boat as a block while the kid fishs between you and the bank. Lilly Creek would work for this 2/3's back up in the creek as an example. Greasey Creek behind Jamestown would work too.

Last thought. Expensive I know. But give the kid a memory of a life time and send him out with a Striper guide. As a teen, going by himself, with a guide he will learn a lot, be safe, and catch fish he will remember for life.