to find that I started out at a distinct disadvantage from the start is the pisser
Luckily, this disadvantage is unlikely to have affected
your final position at all since none of the players in
your section of the leaderboard used the magic formula.
I've gone through every solution in
the top 30, noting who used the magic formula and who didn't.
Those who used it had scores of: 99, 102, 107, 111, 114, 118,
119, 122, 129, 135, 143.
For the sake of analysis, let's assume the tournament was
played with a rule that forbade the use of any magic formulas.
As Ton has already pointed out, not knowing the magic formula
costs an expert golfer no more than about five strokes.
So you might add a five stroke penalty to all those scores above.
However, not all those golfers are experts (though most are),
so let's be brutal and penalize them all by forty
strokes. Doing that pushes the worst of the scores above
up to 183, still three strokes ahead of your score.
So it seems unlikely your position in the tournament would
have changed at all had the playing field been more level.
Oh, one more minor nit, since you are so hot on level playing
fields. I noticed towards the end that you joined forces with
another competitor. Do you think it fair, or a "level playing
field", for an individual to compete against a team of two,
who are able to pool the best of each other's ideas?