Towing Question TigeZ1

Looking at purchasing a 2016 Tige Z1 this winter and I am concerned if my truck can handle the weight. I drive a 2015 Chevrolet Colorado with a towing Capacity at 7,000lbs. The trip to the lake is roughly 30 minutes but I also use my truck for work so I don't want to have tranny problems down the road. Dry weight of the boat is 4450lb and with trailer I think it should be around 5,750lbs(Without Accessories). Can my little truck handle it fully loaded down with gear and gas? Thanks