Heated Rear Window and antenna booster share the same circuit, that is why reception is worse when HRW is on. You can replace the Diversity booster, but do not hold your breath.
MO you are wasting your time trying to make a silk purse out of a sows ear.
If you want radio, the way forward is to do as trebor suggested, go dedicated DAB, or get a DAB transmitter/adapter. FrstE is a good entry level unit for £40, Pure is a British company the 600 is worth the £160.
Be mindful of the fact that your receiver may have a fault.
I plan to fit a Pure 600 to Big Blue in the very near future, the radio reception is about as good as a 75/ZT
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