My suggestion? Carry money and camera with you, bury the stove and other quick grab valuables on the bottom and leave your dirty laundry on top!
Years ago at the conclusion of a group TransAm tour in Portland OR I was doing errands around the city with my bike and a loaded BOB trailer. Suddenly an attractive young woman stopped me on the street and wanted to chat at length about my trip. Strange, I thought... Bike tourists are a dime a dozen in Portland, why is she so interested in me? When I returned to the bike I discovered that the BOB bag had been opened. She was a distraction for a partner in crime. I may have cut the search short, nothing had been taken. One advantage to those clunky trailer bags... too awkward to carry away the entire bag.
And yes, my dirty laundry was in a mesh bag on top!