Is it permissible to store and transport an intact wheel of Pecorino cheese at room temperature for 2 or 3 days before putting it back into refrigeration?
If the wheel is intact, 2 or 3 days at room temperature will be fine. Hard cheeses like that are aged at temperatures not far below normal room temperature. If the wheel were cut, if the temperature got above room temperature or if you were asking about a longer period of time, I might be slightly concerned. But in your situation, your cheese will be fine. On the off chance that it develops some mold, cut the mold away with at least a one inch buffer.