I used to enjoy listening to Grand Ole Opry on WSM on Sat. night but it gets trashed by WSCR (or whatever WMAQ is now) iboc lower sideband from 670.
WMAQs transmitter site in early 30s
Since they are local to you, they should be mostly ground wave. Have you tried using a small rotatable loop antenna to null out the IBOC rubbish on 650?
