My thoughts on this one....you "could" make this work and be within spec, however you would need to pay much more attention to tires, hitch, proper adjustment of your setup, loading, and much more to make it enjoyable and safe. I'm comfortable going a "little" over on some things, but I don't recommend that for everyone. I'll agree that, with such a long trip, you're probably going to pack towards the upper end of your truck and trailer's specs...and maybe very well over them. While some of that can be mitigated with vehicle upgrades and the like, experience is your friend here. Pushing or exceeding your limits is not something you want to start learning with...and there is some learning curve.
Look at the Rockwood Mini Lites (Flagstaff Micro Lite) in about the same length. We had a 2104S that we enjoyed with just two of us, but I don't think I'd have liked it for long trips. Mine was only 4500 loaded. I think they've got some floor plans in the 23-25 foot range coming in at around 5000 dry.
2012 Chevy Tahoe LTZ - HD tow package
2017 Rockwood 2703WS Emerald Edition