Lake Monroe is a large lake in Indiana near Bloomington. There is heavy motor boat traffic on nice days, but the entire side East of Hwy 446 is a no wake zone and does not have a lot of traffic.
Most of the lake is surrounded by Hoosier National Forest property, and backcountry camping is permitted. Though the shoreline is interspersed with private residential property, state parks, and wildlife preserves. So it's not obvious as to where camping is permitted.