The bottom half of the two stroke motor runs pretty cool while the fuel and air are being sucked thru. The heat transfer there happens after the motor has shut down. running toward the rich side helps rather than tweaking it to the max prior to takeoff. sometimes a scoop that picks up undisturbed air and directs it straight to the cylinder head will do the trick. Usually a heat sink cylinder head is the most reliable.
If you want to go wild you might try making a venturi cooling system using the exhaust gas flow to suck cooling air past the cylinder like the old Aerocommander 720s had. It was the only plane that I ever flew in where you increased the engine rpm while standing still to improve the cooling flow thru the cowling.