Ovinomancer
No flips for you!
Had a computer do it, yes: then averaged the second-highest roll from each, on down to the lowest. The result, a ranked average, was surprisingly close to the standard array, just a tad higher on a score or two.
Ah, that's much clearer. I think the culprit the first time around was an unclear pronoun antecedent in 'sort them descending'.