Hi Turbo,
You said you made a batch without oil and salt, and it tore very easily? That would be because salt is
essential, the problem is not with the oil. Salt strengthens the gluten, keeping it from tearing. I put as much as 2.8% (baker's percent) salt in my dough.
Oh, and to keep your dough from burning at the bottom, increase the hydration. Often I use caputo flour, but when i use an AP (Five Roses AP from safeway), I go to about 72% hydration. Makes it a little trickier to handle, especially with very little bench flour, but well worth it. You will get better oven spring, better charring and blistering, and a more delicate neapolitan-like crust. I think you will be pleased.
One more tip, if you aren't using a sourdough starter, give that a try; it makes your dough more burn-resistant.
About buying the pizza oven . . . just tell your wife that it's just as good an investment as buying a brand-new china set or 300-thread-count egyptian cotton bead-spreads, except that it's actually USEFUL. I kids. Be careful, "hell hath no fury . . . "
