RFI is quite common on VHF airband. The BCT15X is not prone to internally generated RFI. It is probably something near the scanner. On any airband receiver I have, I will pick up something inside the house that is a strong carrier without modulation on a few frequencies. As soon as I remove the antenna or hook them up to an outside antenna it goes away. Relocating the scanner in the house may help, but usually not. Leaking CATV cable on the utility poles causes this to happen as well. So, even with an outside antenna you may still pick up something. And, the power companies transmit RF signals on the power grid for collecting all sorts of information. These days it is a harsh RFI envinronment with so many electronics inside and outside the home generating noise. I once had to throw out a USB power cube for cell phones that started sending out lots of RFI. Also the LED troffer lights in my home office did this when we moved into our new house. I had to replace them with something else.
I do not think a passband filter will help, as the scanner is probably picking up a signal being generated nearby from some other electronics within the 108 to 137 MHz band, or a harmonic of a lower frequency.
Try unplugging electronics in the house and turning off lights to maybe find the source. Could be a nearby TV, desktop computer, laptop or plug in power supply. Unplug the device. When computers and TVs are off their power supplies are usually still on. Modern switching power supplies put out a lot of RF noise. I would suggest trying an outside antenna which doesnt need to be anything fancy or expensive. Take the BCT15X outside using a 12 volt battery power source of some type to see if maybe it is coming from inside the house. But, electronics in modern cars emit a lot of RFI, so hooking it up in the car may still get you some interference.