Electric fence interference is usually easy to remedy. The radio noise is commonly caused by arcing as the fence charger sends out its pulse. I had a case, and it was caused by the fence arcing to nearby vegetation. So make sure the bottom wires of your fence are free from vegetation. I use a weedwhacker and keep the ground bare along the fence line. A weed killer could also be used.
Bad wire splices and poor connecting gate hooks can also be a problem. Clean the wires if any rust or corrosion is present. I had another incident which was caused by a spider web when wet. It would happen after a rain or heavy dew. I cleaned off the spider web and all was good.
I've found that checking the fence line at night works well for me. It's quieter at night, so I can often hear the arc pop. Also the arc can be readiy observed, as you'll see the arcing flash occur. A portable AM radio can be used for troubleshooting purposes, as the ARC is readiiy heard on AM sets.
It just takes a little time and patience to find the cause.