Please note that the lines sizes for Carrier are calculated on having THREE lines share the load.
.012" x one= 25 pounds, x2 = 50 pounds, x3 = 75 pounds.
.015" x one = 40 pounds, x2 = 80 pounds, x3 = 120 pounds.
.018" x one = 55 ponds, x2 = 110 pounds, x3 = 165 pounds.
So if you devise a two-line system, don't expect to use the same diameter as three lines. You need to go up to the next size to maintain the same safety factor.
Note: The Brodak rules state lines sizes, with the comment "for three-line systems".
15 Profile is a non-rule book event, but such events are obligated, in the interest of safety, to mirror the practice in similar events, which is to go to thicker lines when fewer lines are used. The insulation is not load-bearing, only the steel.
As the chart above indicates, (3) .012" = 75 pounds, (2) .015" = 80 pounds, almost a perfect match.