I would, if I didn’t have a bigger tow rig or a smaller trailer. But if you have to ask, I’d say no, because you don’t have a lot of experience towing and a 4 ton high profile trailer is about all that Burb will want.
Also depends on distance, geography and frequency.
Couple short tips to the state park in “home”, wherever that is, provided it’s flat and low altitude, sure.
Couple trips a month through the Rockies, Blue Ridge or Sierras, or cross country runs, you’ll be runnin that Burb real hard.
Mostly drivetrain and suspension. The LS3 has good power and is a good towing engine.