I've towed stupider stuff with a 1/2 ton than a 10k trailer, but I agree for a couple reasons, maybe not those that have already been posted, that 38' and 10k is a bit much IMO.
Payload, not worried about that. That's what wdh's are for. Truck handling the trailer, not as worried about that, that's what sway control is for. Power to tow, not worried about that, brand new 6.2 pickup will pull.
My concerns are, sounds like y'all may not have alot of towing experience under your belt. This is doable, but looking back I wouldn't want to cut my teeth on a 60' long combo that's at the max abilities of my rig.
Also related to skill and comfort level. You have to maneuver and back that thing up as well as handle other tight situations either at 1mph or highway speeds.
It IS the upper end of what I'd want to tow with my personal vehicle. Flatland towing, weekend local trips to the park, not as big a deal. Coming down a 10 mile long 6% grade with a couple hairpins thrown in ups the ante considerably.
Not deal breakers, but thoughts to consider.
You said 2 adults, no kids. The trailers you're looking at are full on homes on wheels. Some folks want to tow a condo to the RV park and fire up the AC and live in their camper, some want a nice bed and shower and a place to keep their beer n food that doesn't require bags of ice after a day outdoors. Think about what you want out of it before jumping into the biggest TT's on the market.