You could have the piston tops milled to give a small dish, if you are running flat tops. This sounds odd I know, but when I was a wee tike my father raced a 327 chevy 2 nova. He bought 13.5 to 1 Mickey Thompson pop-up pistons. He eventually wanted it to be more street-able so he took out the pistons, had them machined at a local shop, and stuffed them back in. Car ran perfect till he sold it 6 or 7 years later. You will have to get it re-balanced, but they will only have to remove material, not add it, so cost will be low. My point is you may not be as restricted as you think using an existing platform.
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