Bill,
What you describe on one sounds like you may have AGC on in recording device for the 'sound' control panel item for the digirig. Most windows sound devices seeminly default to this being on, some drivers or hw does not have the option to disable it either. If you have not try to uncheck that and see if that helps.
AGC kind of gets in the way of those modes that carrier does not capture the RX like FM and can do what I think you're describing. I could be wrong but I have seen AGC do this.
GL & 73