I dont see why we should fight.

I think a combination of longbows and crossbowmen would be ideal.

Crossbowmen in the front to deflect incoming armoured cavalry and infantry, and Longbows in the back to rain death upon the enemy. I'm doing something similar in my Sicilian campaign... Muslim archers and Genoese Crossbowmen, with Norman Knights on the wings and maybe a trebuchet or two in the center.

No infantry whatsoever... just archers, artillery, and norman knights...

Does England have a similar configuration of troops? I don't recall them having good crossbowmen, but then again, I hardly ever play England anymore.