After posting I re-read your post and realized that you might be picking up very strong signals on frequencies other than the NOAA transmitter. You're probably picking up the TV signal as well from that WTVP tower. That would explain the "data" sound from the digital TV signal they're putting out.
You might have to use two or more notch filters and cascade them to get rid of the offending signals. You'll need to figure out what frequencies/bands you're getting this intermod from. We already know the 162.475 MHz is a problem because you can clearly hear it bleeding through, and we suspect the TV frequencies are an issue also.
According to WTVP's license, they are transmitting on Channel 46 which is 662-668 MHz. If that's the only channel they transmit on, then you could probably solve your intermod with a notch filter centered on 665 MHz. That filter combined with the 162.500 MHz filter should solve your issues.
Single Channel TV Filters | PAR Electronics