Andy was mentioning that he had tweaked some of the scheduler settings in Max, based on some research and intuition.
I've modified my scheduler settings accordingly, and have ended up with a fairly stable working copy of Max so far.

I'm including them here, and will invite Andy to comment further.

Event Interval: 1
Poll Throttle: 10000
Queue Throttle: 10000
Redraw Queue Throttle: 1000
Refresh Rate (ms): 20
Scheduler Interval (ms): 1
Scheduler Slop (ms): 0.5