I received a reply from Ring today. Here is the relevant info snipped from that reply:
Also the 150mA current is not a problem for the AM-1.
So, while it answers my specific question (it can directly drive a load drawing 150mA), it doesn't answer the broader question, which is "What is the maximum current rating of the outputs?"
It appears I will need to procure an AM-1 to do some testing. Wasn't planning on it this early on in the progression of my module building, but since eventually I'll need four of them, I might as well take the plunge.
My original question was prompted by the discovery of an alternative turnout motor to the big green or blue motors. The product I found is much smaller, simpler, and less expensive. I bought one to test it and I am impressed with their design and operation. You can read about them here:
http://www.modelrailroadcontrolsystems.com/mp1-switch-motor/.