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I think this will maximize fold equity vs two unpaired overcards, but keep you from being broke most of the times villians hits the flop.

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If villain hits the flop and you push into him, how will you not be broke?

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VS A hypothetical villians AK, the flop comes AJ7, you can check fold leaving you with t900. Flop comes, Q62 you push and villian doesn't get to see turn and river, which he would if you push preflop. The only times you go broke are when it comes K72. You still will go broke sometimes, but it will be less often than a straight push preflop.

I personally think the villians raising range here is pretty wide, and I'm not so scared of postflop play that I can see a flop with 99 vs Ax all day. He has Ax much more than an overpair here, so vs his range i think we are about 65/35 preflop. This is too big to pass up with the quickly escalating blinds.