I've been thinking HARD about how to beat woodies with my non liz list, but I can roughly translate.
I like 2 casters, one 4 other 2. If he's one of the ADVANCED Woodies? He'll have an Alter Elf Guy that can use a Doom Arrow on you. Many of them run Treeman and have at least a cast or 2. So: Toad them (Hex Scroll, not bestowing our Slaanish magnificence upon them) or Feedback Scroll. Why Feedback? Most Woods run Life on a secondary caster at LEAST- Ergo, unless they cast a BIG wood spell that would be horrible? Hit the Lifer.
Treekin are only vulnerable to magic and are FLAMMABLE (because they're Forest Spirits) so honestly, think of all the Fire 8th has given people, and you have nothing BUT toys to work with lol.
Also: Terradons are good because aside from the archers that can hit from 30" with no problem? Many of them have at least 1 if not 2 War Eagles, one being ridden by their General (or a Stag).
LOTS of Archers. Horses with Archers, Glade Guard, Waywatchers...ANYTHING with a bow & arrow. 30" and KB in close range. You can counter with most anything, because they're elves. Aim for S & T checks and you've turned them into pate' lol.
Weaknesses? poison, skirmishers, fire, anything that stops LoS and can sucker punch. think about it- the normal fighting line can hold dryads, but is slow. a Banner of Striding actually gets the slower guys up into a nice threat range.
So basically, Lizzie:: WoC to Woodie:: Empire as an analogue. They think of lizzies as tin cans that are slow and lurching. Surprise them by making them CHOOSE what they lose from round one onward!
Sorry. got excited lol