Go for it!
I have several friends there who do just that. They purchase and put in moorings. The ice plays havock yearly and they have to snorkel out to find the chain. Sometimes it even drags the mooring around! I'd talk to a couple of locals. Often people with purported authority like to just say 'no'...that lake is over 110 miles long and while the marina coves and channel areas are regulated, much is not. In fact if you get and use a mooring you may circumvent 'future regulations' that will no doubt 'happen'. Go for it!
My formula for living is quite simple. I get up in the morning and I go to bed at night. In between, I occupy myself as best I can.