Since we are talking high school.....I can say this having been in those shoes... that it all depends on if I have a reliable kicker, holder and snapper. In most of my seasons I would have had very little confidence to place a game in the hands of my field goal. extra point. Good snap, good hold, no leaks up front and a true kick....lot's of moving parts for HS kids under pressure.
This situation calls for a sneak....OL toe to toe wedge up front....QB sneak with other backs pushing the QB behind the play (an advantage offenses didn't have.....as It was a penalty to aid the runner when I played and coached.)
Advantage of the sneak.....no handoff to mess up and virtually no chance of losing yardage, insuring me that with 2 time outs I will have a minimum of 3 cracks at the TD.
My coaching tenet #1 is never make a decision that takes the game out of the hands of the team. So in keeping with this philosophy, if I ran 3 sneaks and time expired......and we didn't get in.....I could look every kid in the locker room directly in the eye.
i could live with those who would go sneak, TO, sneak, To and play action on 3rd down with instructions to throw the ball away if the primary isn't open and then on forth down try the kick.