I previously submitted a file called Funny Centaur spam. I looked back at some old Recorded games and found out I was actually using the strategy now and then.
Basically you focus on Centaurs and toxotes to alleviate the drain on your food. This lets you go Classical and Heroic reasonably quickly. Then using your hoard of Centaurs, toxotes and heroes you attack.
It seems it is a reasonable strategy because I have several wins from it. But of course I am not that good a player and it could prossibly be done better and faster.