05 trail blazer same situation
 

Unhappy Trailblazer Problem The Engine Turns Off When I Turn On The Hi Beams...!!!
Hi all I have a problem with the lights of my 2003 Trailblazer Lt
One of the Low Beams Are Very Low Light (Driver), the other Turns Normal (passenger) but when I Turn On The Driver signal flashes very quickly
As if one focus is molten but the forward and back Are Well
It seems A Short And here's the biggest problem when I turn on the headlights
Just pulling the lever after about 10 seconds The Engine dead
This is not always in occasion is working well
And only when you turn the Driver signal or whether the high beams starts The Problem

My 68 el camino died if I turned off the highs; found a short in the hi beam switch on the floor. Maybe you have a bad switch shorting in your column