I e-mailed the FAA and asked if a digital copy, such as a scan or photo would be sufficient as proof that you passed your recurrent test, and they said it was as long as the digital copy can be displayed on a device that you have with you.
I've called several of the airports around me. I've never actually talked to anyone on the phone, but i left a voicemail with the general location that i would be flying at the altitude that i would be at and the general time i had planned on flying. I also left my name and cell number.