I have taken 2 stock trucks to the Doll House: a 94 4wd pickup with 31 inch Firestone Destination AT tires (no lockers obviously), and a 2000 3rd Gen 4wd 4Runner with 235 85 16 Duratracs and a rear e-locker. Never used the locker.
I wouldn't be concerned about anything in The Maze with a well maintained stock truck. Poison Spring could be another story depending on how washed out it might be. But as long as you have another truck you can always tug him through any bad spots. That could thrash your scheduling, though.