I found an OID that works to determine if our UPSes are on battery. "upsSecondsOnBattery(2): which is OID 1.3.6.1.2.1.33.1.2.2
In the Define your universal Device Poller screen, I can choose "Browse MIB Tree" with the OID already typed in and then select a device by the vendor and node name and hit Test, and it gives me the proper output. A 0 if the UPS is plugged in and a number of seconds that keeps increasing when it is on battery. Perfect.
If I then go to the Assign pollers screen I am also given a chance to select a node and hit test. In that screen, I get " A value was not returned". I suspect this would be a problem and it appears to be because I have not gotten a test UPS to trigger an alert while on battery.
The OID description says it returns an Integer in seconds. I'm not sure what MIB Value type to specify. "Number" or "Integer" are not listed in the documentation.
My Alert trigger condition looks like this:

I named the poller TrippLiteupsSecondsOnBattery to keep it clear what devices I was going to use it with.