Yep give the trailer's converter a chance to do the charging. Way easier than hooking up a separate charger.
That's what I've been doing with my Honda 2000 for almost 10 years.
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