One problem related to starter solenoid has been reported for the 1996 Chevrolet Suburban. The most recently reported issues are listed below.
First time at 30,000 miles, symptoms appeared to be defective starter or started solenoid- found that the battery was leaking at the positive terminal and corroded/ruined cable connecting to battery. Dealer in north carolina [parks Chevrolet, charlotte replace battery and cables, free]. Second time, at 50,000 miles, I checked battery and found leaking again - soaked cable connections in baking soda water solution and re-installed with new bolt. Since that time, I have cleaned the cable connection at battery positive post with soda/water solution at approximnately 10,000 mile intervals. From talking to other owners, it appears that the batteries are the problem - leaking at the positive bolt/terminal connection. As a former mechanic and factory service rep, I have been able to avoid a serious threat to safety by frequent inspection and maintenance, but this is really a dangerous situation and may have frightening results unless some action is taken to correct.