Two ideas come to mind to deal with the very strong signal on RF31. The first is to get an antenna with a strong null and make sure KGBT is in the null.
The second is a cavity filter to notch out RF31. For example a tripple cavity filter to notch out a UHF station would be $375 from Microwave Filter Co., Inc.
(Along that lines, you could try a 1/4 wave stub. An open 1/4 wave stub at RF31 would act like a short to the overloading signal, but it would probably take out channels on either side to a varrying degree depending on how far a station was from RF31.)
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