I am working from the assumption that, for any given combination of army lists and map, there will usually be a superior side and an inferior side. And you shouldn´t use equal strategies for them, because that makes no sense.
Starting with the superior side, the fact is that, supposing equal luck and equal skill, you win by default. Therefore simplify; take no risks; play conservatively. Don´t try anything fancy; that is what, willy-nilly, the inferior side has to do. They must muddle the waters and try to confuse you. But, as the superior side, avoid to confuse yourself.
So, as the Syracusans, all my decisions were about keeping it simple. I didn´t buy a single non-light cavalry, because cavalry is about mobility and the Syracusans are about toughness. They do not need much mobility. Play to your strengths! I didn´t buy Warbands, because they are a gamble, and we talked about taking no risks. I passed on Raw Hoplites, for the same reason.
I bought both Veteran Hoplites, all Citizen Hoplites and all Mercenary Hoplites but one. I also bought all light units but one as an insurance policy: The only thing that is seriously dangerous to an endless line of Hoplites are shooters, so best to have the most shooters myself. Artillery was an interesting decision; there was a case for both or none. It certainly would have made sense as a complement to my many shooters. Ultimately I opted against, to afford more Hoplites. I bought a couple Scutarii to cover the Rough on my right flank and a couple cheap Italians to boost my numbers, in case my opponent went all medium. My setup was all but fancy, the simple plan being to counter and negate anything fancy my opponent might try.

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