Thats my operation as well.I always split by myself and stack as the splits come off the machine and don't let them hit the ground where they would have to be picked up. The motor is only running 2660RPM so the cycle time could be much quicker.
Handle the wood as few times as possible.
I have a convayor built in my head that will move the wood the total lenght of my stack,then once the belt is full go along it and stack it,repeat till the row is built.
Probably never get to that build,so split-stack repeat it is