When I have a new vehicle that burns oil, the last thing I'd want to do is trade it in on ANOTHER vehicle by the same manufacturer. If they can't get it right the first time, what makes you think a '14 or newer will be any better? I'd strongly suggest looking at Ram, or even Ford. Ram seems to have their crap together more than the other 2 ...
There's alot of options - none of them even remotely cheap, unfortunately. Could rebuild what you've got, drop a new crate motor in, tear it down and only repair the problem (which could be alot of things), drop in a used junkyard engine, buy a parts truck and do a swap, etc..
What you can afford will dictate which of those you choose. Junkyard engines are the cheapest route ... but that engine could be EXACTLY the same problem child as what you just yanked out ... only with more miles on it. Crate is the way to go, but HOLY CRAP wait until you see the cost of THAT ... then if you're paying someone to do the job, plan on another grand or more on top of all that. I HATE the LS engine ...