I think your biggest issue will be the hitch weight, when loaded. With a 400lbs. dry hitch weight for a stripped down trailer with no battery or propane, you could easily be close to 550lbs. when loaded.
You'll be at or possibly over the Exploder's max hitch capacity.
Don't think the trailer weight will be an issue.
I also owned an older 4.0 Exploder for a number of years, towing a popup.
Dan-Retired California Firefighter/EMT
and Zoe the Wonder Dog(R.I.P.)
2016 PrimeTime TracerAIR 255, pushing a 2014 Ford F150 SCREW XTR 4x4 3.5 Ecoboost w/Max Tow Package