You might need a Dodge...Just kidding.
My Lance 855s sits on a 2010 dodge 2500, 17" rims and 305 70r 17 Nitto terra grapplers. Yes, I know it's probably not the best rim/tire combination for that heavy of a camper, but it works for me...at least so far. I have a lot of sidewall flex which is also not ideal. I have driven from Seattle to Alaska with this set up and had no issues. I also have, PacBrake bags, Helwig sway bar, and Rancho 5000's. I owned a 2011 f-350 SRW that would have probably handled the camper better, but I like my Dodge better for towing.
Personally, I think you will be fine.