Here are some more things I'd try:
1. Disconnect the rig from shore power, and run an extension cord from outside directly to the AV system. If it's clean too, it really starts to point to the converter.
2. If the signal is clean with an extension cord, leave the A/V system running on the extension cord and plug the rig into shore power. This will fire the converter up. If the noise comes back, it once again points to a potential converter noise issue.
3. Even if the converter (or another electrical appliance) might be the issue, you have more checks to make. make sure that you eliminate as many coax connections as you can between the dish, receiver and TV. Directly linking them may point to a connection that is susceptible to RF noise.
4. These are a few tests to help you narrow down the issue. But if you can't find it, you might try a noise filter in the coax line to filter out the extraneous signal.