Whisk together flour, baking powder and salt. Using a wooden spoon, stir in yogurt and 1/4 cup goat cheese. Knead on floured surface until smooth and elastic, about 10 minutes. Form into ball. Return to bowl; cover with plastic. Let rest 2 hours (dough will not rise).
Heat vegetable oil in a large pan over medium-high heat. Divide dough into 4 even pieces. Using the palm of your hand, press each piece into a flat, round disk, 6-8 inches in diameter. Gently transfer the naan to the hot pan. Cook until golden brown and crisp, about 2 minutes on each side. (The naan will bubble slightly and cook more in some spots than in others. I find that it sometimes even becomes nearly blackened in small spots, but this is part of what gives it that familiar “grilled” naan flavor.”) Serve immediately.
Notes
Adapted from Goat Cheese-Onion Naan with Mango Salsa by Chef Beverly Gannon, Bon Appétit, September 1998