Tough situation, but as mentioned Quick is out a few more weeks. If it were a few months, then the situation would be different. There's a not a ton of great options on the goalie scrap heap. Steve Mason is pondering retirement, so I doubt he's mentally/physically ready to face NHL competition on short notice. Kari Lehtonen might not be interested in a situation where he'd be waived in six weeks.
Probably some less than satisfying #3s who'd be available around the league. Off the top of my head, Al Montoya (EDM), Anton Forsberg (CHI), Calvin Pickard (PHI), Curtis McElhinney (CAR), Eddie Lack (NJD). Might as well run with Budaj/Petersen.