based on the specs, you have 1 gray tank:
https://www.rvguide.com/specs/jayco/...ourne/26a.html
If it is the pressure relief on the tank, it should happen from sinks as well. I don't think I saw that you tested that. I'd grab some water pitchers, buckets, etc and fill up the kitchen and bathroom sink and see if it has the same issue. You might see backup through the shower drain. If this happens then certainly sounds like the gray tank breather, and thats much better than the black...
I have one of those cheap snake cameras. Maybe a friend has one for you. One of those things you rarely use but sure comes in handy. This is the one I have and I'm happy with it. Has a good light too.
https://www.amazon.com/gp/product/B08NJ8627V
If you have one of those you can stick up the grey outlet and start looking around the best you can and see what you can find.
I wouldn't use a plunger to clean it out anymore though as if the lines are clear you are building up pressure and asking to blow a seal somewhere possibly making a bigger mess.
If it is the issue, I think you'd have to cut a hole in the tank, cut the tube and then seal it back up with fiberglass or some patch material.