[pergesu]

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If the new chips are 50/50 you should want as few of them in there as possible

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Against your typical opponent, I don't know if that's feasible. Calling down gets min value vs JJ, but of course loses the least vs KK. But since we're against a typical opponent, he'll eventually try to get all his chips in the middle, unless a scary turn or river card comes.

The way I see it, raising him on the flop is your worst possible play because he's going to come over the top, in which case you're now playing for your stack. If you opt not to raise at any point, you're now at the mercy of your opponent in that you commit however many chips he opts to bet.