I lived in Brazil for several years, and those fried pastries filled with mozz (among other things) were a great pizza substitute. Are they called pizza frita in SP? In Belo Horizonte, they are called pasteis.
BTW, at my urging, my brother-in-law bought a forno a lenha (wood burning oven) last year. In Brazil, they are relatively inexpensive, about US$200-300 last time I checked. The same recipe that produced decent pizza in my home oven yielded the most exquisite pizza in the wood burning oven.