It's definitely possible, Dug Bar shouldn't be an issue.
But, some of the steeps and tight corners on Lord Flat are going to be a little challenging. I'd absolutely prepare to get some pin striping.
If you don't mind me asking - what kind of full size?
I'm debating on taking my gmc Yukon, or jeep Cherokee. Both the yukon has 265 75 16durratracks and the Cherokee has the same tire in a 31 10.5 15. The Yukon is a lot more comfy for the ride but I'm not the biggest fan of hard core pin striping on it.