There is no cable in a Suburban, direct drive motor on the regulator, and it isn't accessible with the window down. The Blazer uses a cable from the motor to a transmission on the regulator, while the Suburban design eliminates this possible point of failure.
The safety switch should be on the drivers side latch. Easiest way to get to it is open the gate, get some help(if you don't have any help, just make sure you support the glass while it is sticking out), and remove the 4 bolts at the bottom of the glass that hold the glass to the regulator. Slide the windshield to the up position and have your buddy (or some other support) hold the glass. Find the wires running to the safety switch, pull them off the switch and use a jumper to connect them, then test the motor with the dash switch. If the motor works fine, you can move the regulator arms to center them on the access opening, then reconnect the window to the regulator. Just make sure you test it since it is a fairly easy operation to swap a motor while the glass is already out of the way in the up position, much more work if you put it back together then pull it apart again.