Since you are already used to the open feel of a pop-up you will love a hybrid. We bought our second one last year after having our first for 10 years. The Trailblazer is a great tow vehicle for the right trailer.
We towed a 3500# hybrid for 8 years with a 2003 Trailblazer, tow capacity 4900#. The configuration I had was I6, 3:42 gears, EXT, 4WD. It towed that little trailer beautifully, including mountains. When we bought our X20E (4750# GVWR) last year it towed fine in the flats of WI, but I was really pushing all the capacity numbers. I would not have towed this trailer through mountains with the Trailblazer. Our Sierra on the other hand, handles it like they were made for each other.
Are you sure your TB has a 6100# rating? What engine (I6 or V8) and gears does it have (3:42, 3:73, or 4:10)? I would not tow a trailer longer than 21'-22' if its not an EXT. If you really do have a 6100# TC, as kvangil says, look for something that has a sub 5000# GVWR trailer. Check your door sticker also for the payload. Its not real high on SUVs.
Another thing to consider is the care of your transmission. The 4L60E is a fine transmission
if its cared for properly. With my light trailer I never put an axillary cooler in it, but I did with the bigger trailer. So an axillary cooler is something to consider. It's cheap insurance. Use only DEX VI when changing the fluid. Its a blended synthetic and runs cooler than the old Dex III which is what your trans came with from the factory. My Trailblazer had 160k original miles on the transmission and it was as strong as ever when I sold it.
A good web site to get more real world perspectives on towing and maintaining your GMT 360/370 is
GMT Nation. Great bunch of very helpful folks and lots of good info on your platform.
Chuck D.
“Adventure is just bad planning.” - Roald Amundsen
2013 Jayco X20E Hybrid
2016 Chevy Silverado Crew Cab Z71 LTZ2
2008 GMC Sierra SLE1 Crew Cab Z71 (traded)