If the kids can "work" a jig, one of my favorite spinning lures for trout is a twitching a white marabou crappie jig through likely looking holes...
If not, a Woolly Bugger or regular attractor nymphs under an appropriate sized bobber (just big enough so they can cast the fly) fished like you would with a fly rod is another excellent "spinning" option.
BTW - A slip float with "bobber stopper" placed on the line at the appropriate depth makes casting a fly/bobber or streamer/bobber rig a WHOLE lot easier.