Since SCOTUS takes on such a small percentage of cases that are offered, you aren't going very far out on that limb to believe that they won't take the case.
But your belief that outside NE everyone thinks he's guilty is typical Jet fan thinking; very muddled and factually wrong. The vast majority of NFL fans know Brady is innocent, but they are happy as hell that his suspension will weaken the Pats and give THEIR team a competitive advantage. What true American isn't going to support someone who knows he's being railroaded fighting for his rights.
Personally I wish he'd skip the move to SCOTUS and go directly to the defamation suit and TOTALLY out the NFL front office for the corrupt, biased, and contemptuous organization it has become.
BTW- Sheldon Richardson just got suspended for just ONE game for driving 143 mph, resisting arrest, with drugs, and a minor in the AM. The way the Jets run the NFL office, maybe if he'd crashed the car and killed the kid, he might have gotten a 2 game suspension
Also you might not know, being a Jet fan, that the last time (IIRC) the league caught at team tampering with a ball, it was the JETS. But they didn't lose their 1st and 4th round picks. They didn't lose their most important player for a quarter of a season. They didn't lose $1MM. In fact they didn't lose a nickel. When the Jets were caught red handed and never even denied the charge; the PLAYER was fined $8,000 and everyone moved on. THAT, my deluded friend, is what passes for "equal justice under the law" in the NFL that is run by the NYJ alumni club.