For a go kart to turn it must lift the inside rear wheel off the pavement. Axles are limited to steel by the rules.
I don't think the properties I want to investigate can be handled by a shop that makes automotive axles or driveshafts.
My kids and grandkids are involved in go karts. The go kart has to lift the inside rear wheel to turn as the rear axle is solid. Tuning or adjusting the kart to optimize the performance often involves changing the rear axle to a harder or softer axle. Since the o.d. of the axle is fixed by...