I just did the same hole using 2 different balls, my normal ball(which has a 4.5 meter speed) and did the calcs and landed 4 yards from the hole. I then switched to a level 33 Calaway ball with a 2.5 meter speed( not used to this speed) has a 5 distance rating, 3.5 spin, 2.5 dur. and a 2.5 meter speed. Landed 2 yards from hole.
I did my calculations and hit my 180 yard club in both cases.
I came up at about 96% for both.
I don't normally use full backspin with my normal ball, a Max with a 4.5 meter speed and 5 distance.
I did use full backspin on the Calaway ball to see if I landed closer to hole. Which I did 2 yards versus 4
When I calculated for what you listed as conditions and your add Ons I came up with 94% of my 195 club.
You said 7-9 blowing to the NE(trailing wind), which I would subtract 3 yards for that wind, If you are saying 7-9 blowing from the NE(head wind) then I would add 3 yards to the shot. Then I would use my 180 club @ 99%.
I don't add anything for the ball. My 180 club is also my 6 iron. In both cases of balls used, I would bring up the close up of the ball and click 5 down for backspin. that usually pretty much stops the ball, If I want roll out to happen I back off of the 5 clicks.
I add or subtract 1 yard for every 3 mph of wind, same with up and down elevation.
using your numbers, I get 173 yards with a trailing wind or 179 yard with the head wind. Those are the numbers I would use with my 6 iron 96.1% or 99.4%
Using the numbers you supplied above I would have used my 5 iron(rated at 195) Trailing wind 93.3% or headwind my 5 iron @ 96.4 percent So the numbers you supplied using your calculations and club you would be short.
Adding up your totals you would be making a shot of 185 yards, not 176.