First, one problem with your idea: wouldn't the vario audio go
away whenever someone talks on the radio? I would hate to be working on
a low save while some chatterbox is keeping the radio busy.
As for the problem, while my knowledge in this area is worthy of your skepticism, I would say that the audio signal from the LX is simply too big. It is trying to drive a speaker. The output is likely 10V or so. The Trig audio input wants a much weaker signal. These so-called line-level inputs want something like 0.5V to 2V. The Trig winds up clipping the stronger signal. That produces the distortion you describe as static.
You can solve this by using an audio cable with an in-line attenuator that reduces the voltages.
So, why does the MP3 work just fine? The headphone jack on an MP3 player can output either a
strong signal to drive a speaker or a weaker signal to be used as the
audio input for another device. It senses the load connected to the
headphone jack and changes its output appropriately. But there's no reason for the LX to do this. I expect it always outputs a strong signal.
In looking for an attenuator, a product like this is the right idea, but this one might be too much attenuation. It is 60dB and you might only need 20dB.
Here's a 25db version
Now, that one is intended to connect a line-level signal to a microphone input (which is even lower). But so far as I know, 25db is 25db, so it should work in your application. But while I can't think of a reason why a microphone attenuator would be different in any consequential way, I'm really getting out of my league at this point, so please seek better advice before making a purchase.
Lastly, there are also cords with adjustable attenuation, but I have not found one that specifies its attenuation range.
Cheers,
...david