Only 1 trip towing with a Trailblazer, but I'm going to say yes, you should be happy. My wife drives a '06 short wheelbase model. I rented a Uhaul trailer and towed home a Volvo wagon about 120 miles. Probably 3500 plus the trailer. Didn't even notice the trailer was there. Might want a trailer brake controller, however, just for peace of mind.

The one you're looking at is the LWB model, should tow even better. I love the 4.2 I6, very sweet engine. . .