Here's a thought:
1) Save the assembly as a part, selecting the exterior faces option
1a) Depending on the result of step 1, you may have to do some trimming or other surface operations to get a solid body.
2) Pattern the body a large number of times in the direction of the wind vector by a very small amount. Doing this will essentially yield a new solid body which shows your profile normal to the wind vector.
3) Cut the part such that one of the resulting cut planes is normal to your wind vector. The area of this face is your projected area.
This may be beyond the computing power you have, or you may run into boolean failures on the pattern, but it should get you very close, particularly if the resolution of your pattern is high enough.
Hope this helps,
Dave Gowans