Pizza dough keeps breaking through plastic
Use a 'big enough' baggie or 'big enough' rigid container. Most dough recipes call for the dough proofs (rising of the dough) to be double in size.

Use a baggie or container 2-1/2 to 3 times the pre-rise size of the dough ball

Many recipes call for an oiled/grease vessel covered with cling film (plastic wrap), kitchen towel or damp kitchen towel to allow for the dough to proof/rise. 

I have never encountered a yeast dough recipe or anyone's recommendation to 'wrap it in plastic' film