I'm still learning the 'way of the woods' but now make my scouts 'priority 1'. Find your highest skilled(Inf Command, Experience and Rally) units and change them to scouts. The higher their ability the more likely they can walk right up to troops without being noticed. Second to this are snipers, though risky, firing at point blank range(one or two shots max) to yield 'pinned' opens the door for others. Motorcycles are very durable and can be used at a pinch. Though with all of them it's important to move one hex at a time. More hexes = more pain. Check all sides before firing
Flamming the woods with artillery can do a lot to increase suppression...allowing plain infantry to do a lot of the 'bouncing' work. Plus 'Z' fire can do a little...Stugs to the front(2 hexes).
Failing that avoid maps with more than a 3 woods level?
Good luck.