Thanks everyone for the info, and FF for about how they compare to an invisilign. My dentist mentioned another "tool" that you use in the morning after wearing the MAD all night, it's a plate or something that also is fit to your teeth, except it is designed to move your jaw backwards (using an initial bite mold) as you bite down onto it. He said you bite down onto it for 15 or so minutes in the morning to pull your jaw back into alignment. I think those have to be ordered from your dentist, and not an over-the-counter thing. I can wear my retainers during the day for a few hours to correct teeth movement, not sure about jaw movement though.
I did a quick search and it seems the custom units from your dentist cost ~$1800, whereas the OTC units are ~$70 to $100, much more reasonable, especially if this is an experiment.
Far as sleeping positions, nothing makes a difference for me, snoring is something I've done my whole life, I think in part because I have really narrow nasal passages. I spoke to a local nose doctor about it, and he goes "your wife is too sensitive, spray your nose with saline solution" š Neither of those work as a solution.