Surely all Coventry have to do is whine about how the fa are trying to screw them, and that they've been punished enough by being relegated to league one, and the league will say "fair enough, no points deductions for you". It worked for Portsmouth.
As far as I recall, the football club paid for the stadium rent through a company that declared bankruptcy or went into administration or whatever, allowing the club to continue without admin, until the stadium owners took them to court to force the admin onto the club.
It's like the club tried...