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limp, hoping someone raises and then push (someone correct me if this is not smart) and play cautiously if you end up with a bunch of players on the flop.

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Limp-pushing AKs here seems like a bad idea to me. I don't think you're going to get a raise behind a limp with a worse hand than AK very often (and you'll fold hands you'd rather have in, like AQ, a fair amount of the time when you push), while you're often going to get called by any old pair when you push in the lower buy-ins, and at this blind level you're rarely going to have enough dead money in the pot to make taking the 55-45 dog worth it. Not to mention you'll then have to play out of position if you don't get raised and it'll be harder to know if your TPTK is any good when you get played back at.

Raise it pre-flop first-in, and let anyone with an A cold-call you, and play the flop. Call a raise with it and do likewise, at least until the blinds are big enough to make pushing/raising worth it.