It's been some time since I posted here, and thanks to good advice and some battle experience I'm more confident in dealing with High Elves now.
During the last night's battle the huge block of spearmen was dealt with in the way you guys suggested here. First decimated with Treason of Tzeentch, then weakened with some throwing axes, and finished off by my warriors, which took only one casaulty in the process.
I had some nice results with the chariot as well, and I'm planning to build two more, as I still have some spare horses in my bits box.
The "men of the match" award, however, goes to the brand new marauder horsemen, who took on a charge from an enemy general on a dragon and surprisingly killed it on the spot, then went on to do some shooting and harrassing behind enemy lines. Those guys have surely earned a promotion to chaos knights.
Still haven't encountered Teclis, but Tyrion gave me some serious headaches. I probably need a hero built for character killing, as I previously concentrated on dealing with large number of lightly armoured rank-and-file troops. (for this last task, the Stream of Corruption on my BSB seems to pay off nicely).