Whether the drive is overheating or the motor, it still looks like, when only two motors are running, they are not sharing the load evenly. Check the running amps of the two drives before you get the fault and see if they are balanced.
If the load is not balanced, then most likely the control system is not regulating the two motor speeds evenly. I don't know just how the controls are configured to loadshare but my guess is that's where your problem lies.
When more than two motors are running, the loadsharing is still probably not balanced but, with more motors working, none are loaded heavy enough to cause a fault.
Let us know what you find, please.