[ValarMorghulis]

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Why would lead the flop be a bad option?

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you answer your own question.

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I would probably lead a 9high flop in a 3bet pot. Assuming his 3betting range is TT+ ,AKo,AKs, you will gain information here leading the flop.

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What information do you get by leading the flop?

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If he pushes you have a decision to make

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So if you still have a decision to make, then you haven't got any useful information, have you? He could still have JJ couldn't he? So you have no useful information.

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but by checking you let him fire a barrel with some hands you beat like TT or AK

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and this is a bad thing, how? You realise you want him to put money into the pot when he has a worse hand. You don't want to make a play that gets him to fold all his worse hands and call you with all his better hands.

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and if you raise then you're commited...

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which is good, because we want to be AI, we have a monster.