If it is a crime-prone area, not even the hockey puck locks on backing plates will help since a thief will just smash an escape window and get in that way. Are you worried about someone breaking in or someone stealing the trailer? Both require different protection systems.
What I'd probably recommend is to leave the outdoor compartments latched, but not locked. Then, toss a broken (but intact looking) television in there. That way, a thief will be spending their time heading back to their meth dealer, loot in hand, and not digging through your rig. However, that won't stop the next group of thieves.
For keeping the trailer from getting stolen, look up "security winter wheels" in your search engine of choice. That, or "mp9053". They take some time to apply and take off (as they replace the existing wheels on the trailer)... but once done, locked in place, and the trailer's wheels stored in a secure area somewhere else, no thief is taking that trailer, no matter how many power tools they bring, because even if they cut the locking plate off, there is still the need to have four wheels put on before the trailer will be towable.
The winter wheels are an extreme, time consuming measure, but it ensures that the trailer will be there when you return. Wheel boots and chains also work, but if a thief has an angle grinder, the chains may be on the ground, but no trailer. It is the balance of how much security versus inconvenience the OP wants to deal with.
