Slip bobbers with worms or minnows.
A slip bobber allows you to set the depth of the bait - but the bobber, on reeling in to cast back out or when catching a fish, will slide down the line towards the bait/hook/split shot weight.
With a properly set up slip bobber rig you can set the depth for 5 ft., 8 ft, 20 ft., 35 ft. or anywhere in between.
Another thing to try would be plastic worms with the hooks rigged snagless, or plastic grubs, or plastic lizards - just cast them out and let them sink to the bottom. Or no weights - just cast them out with a spinning reel and let them sink for a few seconds and give them little twitches as you reel them back in.
Experiment with depth - the fish will change depth based on water temperature, light penetration and amount of oxygen in the water.
Have fun.