Mph - I have a 100 series and just bought a Hawk and a flatbed to tow behind the 100. We just took a 1500 mile trip to Nashville to buy the Hawk and put it on the back of my work truck, a 2012 Tundra.
I am not sure how much I'll love towing a trailer around, but the 100 just has so much space and is so nice off road that we will be using more of a base camp setup. Still able to drag the flatbed/Hawk to some remote spots, but for the tough stuff it'll get disconnected and we will rock just the 100.
The DC Tundra is a nice truck, but just not really suitable for a family and gear. I think my crew is a bit bigger than yours though. The Hawk will be a perfect fit for you and your wife and daughter.
Here was my inspiration, a setup from the folks at Adventure Trailer at Expo West last year I believe: