It's Francesca "missed the key part of your post"...
Many such locks are removable so long as the trailer's unhitched- access to do so being from the bottom. Would removing/taking to a locksmith for rekeying or key duplication be feasible? That's what I did with the doorlock on my Trillium
, which had no key when I bought the trailer. It wasn't that expensive, either...
Just a thought!