Household plastic wrap, in particular, is very thin and unsafe for use in the oven. So, be sure to choose alternative ...

Oven mitts? Don’t get him started. The same goes for plastic food wrap. I used to laugh at his disdain for the thin tubes ...

If multiple layers of plastic wrap sounds fiddly, then you could use a clean oven-safe plastic bag instead. Go for a larger one, like you might use when brining poultry, or a slow cooker liner bag.