I've always thought it should stay as it is but with one exception- there's no kickoff. The times I hate the overtime is when there's a big kickoff return or the kickoff goes out of bounds and the receiving team ends up with the ball near midfield. Then they just go 20 yards to have a decent field goal shot. And it seems to happen quite a bit.
I would still do the coin toss but the team that wins the coin toss has the option of getting the ball at their 20 yard line or letting the other team have it at their 20. (I'm sure they'd choose the ball every time, but whatever.)
That way a team would have to gain around 50 yards or so to have a field goal chance. That would give the defense ample chance to force a punt. If a team can drive down the field and score a field goal after starting at their own 20 I don't think you could call it cheap.
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