The list would be escalating in this instance. (long story but travelling up to his)
I have never fought WOC as High elves, I last fought with my empire army and got utterly crushed. (We are all just starting to play). Favorite units are white lions, swordsmen and sea guard.
I was looking at Lords/heroes Mage(s) with lore of life or lore of shadow Core seagaurd and a spearmen block (I don't have enough reevers made up to make it worth it yet.) Speical Then sticking in a unit of swordsmen with the armour piercing standard throwing in a unit of white lions too as I have so many. Rare Eagle and sisters of the watch for rare
Yeah bolt thrower is a definite choice to be considered. You want to dominate the phases that WoC can't, shooting being one of them. I would definitely take swordmasters or white lions with the razor standard, but get them in the flank.