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.
and Zoe the Wonder Dog(R.I.P.)
'07 Roo 23SS pushing an '07 Chevy Avalanche
Equalizer WDH and Prodigy BC