I dont think so, AFIAK the only items that protect from radiation are hazmat suits, cleansuits, their armored versions, and power armor, none of which are oversize. The mask wont really protect against radiation, only against fields and disease.
But if you only got gear restricting mutations in your head you should be able to wear a cleansuit.
That said radiaton shouldnt be a concern unless you want to go into the sarcophagus basement.[/quote]
Oddly enough, the last two sarcophagus basements I’ve visited seemed to have no radiation at all. Aboveground, it had radiation, but I was using my geiger counter underground and it kept saying that there was zero radiation. Well, I kept my hazmat suit on just to be sure, in any case.