They want to sell. That said, price may not be the right battlefield, but at least you could stabilize the front lines a bit. No small Minnesota-local store can compete with the buying power of a big chain. So why try. Find a new avenue.
Some small stores specialize.
Some find niche markets they can serve better than a chain store. Some focus on quality and stock superior or specialty brands. For example, grocery stores that become co-ops like Whole Foods and the Wedge. Packed with people. Specialty cafes and coffee bars could work.