Or if you're too cheap to buy a decent barracks, like me, just bring more men than they have arrows. This can be hard on huge unit size settings, because of the depopulation. But while a-historical, it works in single-player to just bring hordes of pantodapoi (NOT the phalangites, the native spearmen) to absorb waves of arrows/charges (keep them well ahead of other troops if you have Alexander where the AI prioritizes archery targets). Follow up with the cheapest non-pantodapoi spearmen and AP infantry you can find. As long as you outnumber the enemy by two or three times their number of troops and are careful to avoid a mass rout, you should be able to take one of their settlements with a human wave attack. Don't be afraid to bring multiple stacks and put one or more under AI command to increase the number of levies on the battlefield.
Sure, they'll spawn some more bodyguards in their next town and decimate your army even when you win, but hey, you have a new settlement to drain for pantodapoi, you hire a few mercs for your back line, and on to the new settlement. Actually, its really good to use mercs as much as possible, since they can form the best units in your army, and the enemy doesn't send huge merc stacks back at you. The fun part of this strategy is that occasionally you get greedy and suffer devastating losses and it keeps your provinces small and poor, prolonging the game and challenge. And you can roleplay your generals as merciless bastards who never personally engage in combat, which is really the only historically accurate part of the whole strategy for AS (at least the merciless bastards part, dunno about not personally engaging in combat).
This strategy is even more fun once you take Babylon/Seleucia as Hai when going for the Orontid reforms. But its harder to beat AS/Ptoly stacks with this sort of army :).
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