The 6.2 is available in the LTZ and High Country trim, both of which are overpriced if you ask me, but the LTZ is a bit more affordable.
They use the 6.0 motor in the 2500 HD and 3500 HD trucks because it's an HD motor, it is built for fleet use and made to be bulletproof. 6.2 L motor is not an HD motor, it is durable, but it's not the same as the 6.0 motor.
The new half tons are rated to tow 10k-12k pounds, your 3600 pounds will be nothing for the new 5.3 motor.
2012 CCLB 3500HD Z71 Appearance Package Dmax/Alli
275/70-18 Cooper ST Maxx - Air Lift Bags - Viair Onboard Air - B&W Turnover Ball
Wishing it sounded like my old LB7 with Banks exhaust. . . . . . .
MY FUELLY PAGE LINK
1984 C20 6.2 J Code TH400