I will preface this by saying that I feed my snake frozen-thawed
That said, I've killed enough pest mice in my lifetime that I no longer feel sympathy for them. They're cute for sure, but they're not so cute when they break your oven/range by building a nest in it and shitting everywhere, or by eating all of your food and costing you hundreds of dollars. The only traps that work for city mice are glue traps, and I usually finish them off with a crossbow so they don't suffer for long.
Regardless I'm personally against live feeding. A live animal can cause harm to a snake. It will also tend to shit and pee everywhere because it's terrified, rightfully so. I've also seen enough mice die from poison traps that I would never EVER give my snake a wild mouse