I would first try to simulate this.
You don't need a field solver, based on the picture you posted. You can simply treat this as a coupled microstrip. You enter the physical parameters into a simulator, especially your prepreg and distance, terminate it, and then simulate the Sxy.
You should be able to do that for example in qucsstudio, if you don't have a more expensive simulator, this one is free. Then you have a good feeling about it, if it even makes sense to measure it.
But I would take a guess and say that's it's not coupling but something on your power supply. You are at what, -40dB?