Remember, it can get pretty expensive if you register out of state and get caught. As States look for revenue losses, RVs are pretty easy targets....especially if you have out of state tags and plaster your rig with Lake of the Ozarks stickers....below is a link to an older article that I saved shortly after we moved our legal residence to SD. There's others from other States, this is just one I kept since I knew one of the players.
Keep in mind, the things you enjoy about Lake of the Ozarks are paid for with the money you pay the government. I'm not a big fan of taxation, but, like NV, where there's no income tax, they get you somewhere else. You already said, Missouri is your LEGAL residence, so if your register it somewhere else, you run the risk of tax fraud.
The RV lifestyle is to enjoy life...I wouldn't want to be looking over my shoulder all the time....just sayin....Dennis
RV Tax Cheats