Through Melrose Mac, we got in touch with a tech at Caldigit who had us update software drivers and review settings. Apparently he was baffled about the beep with no corresponding error message (or failure) so he FedEx’ed us a replacement card. No problems since.
During the process we learned that detailed log files can be found in the following folder on your Mac:
Although I’m always wary of third-party adapter cards I was pleased and impressed with the speed and effort displayed to resolve our problem. Props.