More useful links:

Banquo's Ghost's Cuman campaign contains quite a few interesting battle lineups for the steppe factions.

And the one I was asking about earlier, MeglaGnome's guide on Halberdiers and Arbalesters Part 1, and Part 2.

I'm planning on writing some kind of essay on the same combo of troops, since my opinon differs slightly from the approach presented in MeglaGnome's guide.