Quad bunks in my book means more weight, ultra light or not. If you want a large trailer, you need a larger tow vehicle. Many 1/2 ton trucks struggle with the weight of a family and large trailer.
Based on my experience, a TT with a gvwr of 6500 or less = good for 1/2 ton truck. 6500 to 10000 gvwr = good for 3/4 truck. You also need the correct wheel base tow vehicle for the length of trailer towed, and braking power to stop.
Your family's safety depends on the right tow vehicle, plus it is nice to arrive at your destination feeling relaxed. Towing should be an adventurous yet relaxing experience.