Admittedly a limited sample, but based on what I've seen the best bet to defeat the Dark Horses is with a physical, ball-control offense. If Clinton is going to pooch kickoff every time, I'd take the opening possession (unless Clinton wins the toss and elects to receive), and you're already looking at a short field and a chance to go up early.
As physically talented as Clinton appears to be, for my $$ (which ain't much) their emphasis on the passing game vs. wearing the defense down physically up-front allows a good "bend don't break" defense to hang around and look for turnovers, procedure penalties and holding calls, which combined with an effective ball-control team can quickly flip the field and before you know it it's halftime in a low-scoring, close game. With 12 minute quarters and limited stoppage of play, a good high school team can shorten the game much more effectively than at the college level.
Also, if the opponent does control the clock on offense and possessions are limited, can Clinton be effective in a field position game? I ask b/c for dominant teams and especially in the 1A/2A ranks, they may rarely if ever punt, or, attempt a 30 yd. field goal under pressure which might be needed deep into the playoffs.
Regardless, it may take an opponent's A game combined with Clinton's B/C game to beat them, but certainly doable.