10.2 : 1 compression 360 at sea level. Options?

I would just try the highest they have at the pump. If it works, back off to the next lower. Do this until it doesn't work anymore. Definitely rejet the carb first.
Both of my 340s are 10:1 J head motors, one is 268 the other 274 cam. My 67 is street/strip with an aggressive ignition curve 27*/34* and runs great on 93. The 73 is street only and runs on 89 with the 268 cam. A good tune is important, you check for detonation with a magnifying glass and look for specks on the porcelion. Run it on mechanical timing only first, then add the vacuum advance and dial mid to upper 40s for cruise. I use ported on the VCAN. I run MSD 6AL boxes and Autolite copper core 65s at .035 gap. A good phenolic spacer also helps to keep the carb cooler. Both cars have functioning sealed dual snorkel scoops for fresh air.