Lets say its 1971, and I wanted to build a 360...

Just to let you know, if your pistons are stock replacements, ain't no way the compression is where you think it is, unless the heads have been cut over .100". 1971 was the first year for the 360 production wise, while I have seen a block as early as a late 69 date code, they were all cast for the 71 model year. That's the only year the 360 had a noticeably higher compression ratio, because Chrysler used a piston with a longer compression height. Pistons that were never available through the aftermarket, since the engine was one year only. The aftermarket made the 72 and up piston the replacement piston of choice, which has a shorter compression height, giving less compression. Truth be told, even the 71 360 was probably barely 8.5:1, because of the terrible machining tolerances Chrysler was known for such as tall deck heights and larger combustion chambers compared to specs. So, what I would do before anything would be to verify static compression in that engine, because unless the pistons are some sort of performance replacement, you're in for a disappointment. Even still, you should physically measure static compression to be sure.