Thankfully, I've now got the perfect solution to my quandary. One can actually bake tortilla strips, and they arrive at the same satisfying crunchiness. I discovered this thanks to Everyday Food and an ingenious recipe for shrimp tortilla soup. The key is to crank up the oven to very high heat — 450 degrees F — toss the tortilla with a generous amount of oil, and bake just until golden brown, about five minutes.
Have you ever tried to make tortilla strips at home? What's your trick?