I've used probably a half-dozen trailers, on probably a dozen bikes, all with QR rear axLEs. Never had a problem. A QR skewer is no less strong than an old-school axle nut. Can you post a photo of your axle mount / hitch pin?
If you want to go without any hitch pin that stays on the bike, the "classic" Burley hitch fits into the rear triangle. It can be adapted to just about any trailer with a drawbar.
And as said, all two-wheel trailers have to have some sort of flex mechanism built into the hitch, to accommodate the bicycle leaning on turns. In an extreme situation, that part would most likely fail before anything else on the bike or trailer.