You cannot "trouble shoots" the EBTCM once it's removed from the car. It must be done on the car. Also, that device cannot be repaired in the field. If diagnosis of the EBTCM indicates that it failed, it must be replaced with a new unit (if you can get one) or a remanufactured unit which is available.
That said, there are many other reasons why the ABS and/or ASR service light can come on. I would diagnose the system first and then buy parts.
The Factory Service Manual explains how to get the fault codes out of the system. The FSM also has repair procedures.
The 11/07 and 12/07 issues of Corvette Enthusiast magazine and the 6/08 and 8/08 issues ZR-1 Net Registry publication The Legend both contained a two part series on ABS/ASR service and maintenance.