Bass' River Resort. Ozark Trail goes right thru the resort. Ask for the family area. I think you probably know all this though.
Current River has Pulltite and Round Spring campgrounds and other private campgrounds. I've found the National Park/Scenic Riverway campgrounds are less prone to rowdy behavior.
Jacks fork has Alley Spring campground.
Niangua has lots of options but is known as a party river, but most all ozark rivers are on Saturdays in summer.
Several other lesser known rivers out there, that are equally enjoyable but see less floaters. Big Piney, Black river, Gasconade, Eleven Point.http://www.missouricanoe.org/
There are several in northern arkansas but I have yet to visit any there. I hear the Buffalo is excellent.