The wind at the firing line is more critical than the wind at the target. If the wind is gusting, choose to either shoot in the lull or the gust. If the wind is swapping directions, try to predict when there is a neutral wind and shoot on it. If I understand the description of your range correctly, the high sides could result in very turbulent air on the range which could be tricky to figure out.
If you don't have a wind meter, get the wind from your local radio station, or use a wind flag. If there are wind flags at the range, divide the angle between the tip of the flag and the flag pole by 4, that will give you the wind speed in MPH, and is useful up to about 25 mph in which case the flag will rize above the horizontal; a wind above 25 mph is too difficult to read by the flag. A field expedient wind flag can be made by holding a rag at shoulder height with your arm fully extended. Let the rag go and point to the spot where it hits the ground. The angle between your arm and your body is dived by 4 to determine the wind speed in mph.
To determine your bullet's drift with a .308 or a .30/06, divide the range by 100 and mulitply by the wind speed in mph. Divide this number by 15 to determine your drift in MOA. As range increases beyond 500 yards the constant is reduced by 1 for each 100 yards of range. But in your case, with a 10 mph wind and a 200 yard target, 2X10=20, 20/15=1.3 MOA, 1.3@ 200= 2.6".