Maybe time for a timer upgrade to one with grounded receptacles?
Or, if you have a lot of free time and like projects, you can run the Aristo off a relay in a box with a 3 prong cord to your mains. That is how I run my 1414 Aristo, to save wear and tear on the timer contacts.
In your case, you can then power the relay coil from your non-grounded timer. If you ever upgrade to a fancy electronic timer, you won't ever have to worry about its electrical contact rating when powering the Aristo.
If you look in the picture below it shows how the trigger line from the timer is not grounded and the ground (green line) passes through from mains to the Aristo head.
In your case, however, I'd just get a new timer.