hillbound

I am new to this forum. Looking to purchase a late model (2014-2019) GMC 2500 HD to tow a fairly large travel trailer. I expect my question may be addressed somewhere on this forum, but being a newbie, and not knowing my way around yet - I will ask anyway. When searching online for a truck, it is pretty easy to determine if the truck has the Z71 off-road suspension package (emblem on hood, noted in description etc.). It is not always as easy to determine if a truck has the max trailering package. Here is my question: Does the Z71 option mean the truck can not have the max trailering package? Can a truck have both the Z71 and the max trailering package