Preheat oven to 400ºF.
Place a medium skillet over medium-heat with 2 turns of the pan of EVOO, about 2 tablespoons. Add the turkey dog rounds and heat until brown and crispy, about 5 minutes. Remove from heat and reserve.
On the bottom of a ceramic casserole dish, place a layer of pretzel chips. Scatter a layer of turkey dog rounds over the pretzel chips, then sprinkle 1/4 cup of cheddar on top. Repeat each layer one more time, then pop the nachos in the oven until the cheese has melted, about 10 minutes. Remove nachos from the oven, drizzle with mustard and enjoy!