Everything that was said so far is spot on. That boat looks more than what the NADA guide states and Id want someone to weigh it beforehand just to make sure. State Police may be able to help you with that or at least guide you to where a weigh station is.
Also, if that is loaded up with fuel you can easily add another 500-1000 pounds without realizing it.
Even with all that being said, Id ask a friend to borrow a bigger truck before I broke in my new truck on a drive like that. You will need more than a few hours behind the wheel of your new truck to really get a feel for how it handles with such a weight on the tail end of it.
Just my 2 cents. Either way, best of luck with it.
Which brings me another point.....you showed the boat, WHERE IS YOUR TRUCK??? We demand pix around this neck of the woods.
2005 5 cyl, Black on Black, 4 door
2016 Z71, Black, Long Box, 4 door