I'm not hopeful.
I had a look through team rosters around the league on Capfriendly the other day, and there's not much out there in terms of teams with multiple waiver-eligible goalies fighting for their backup position. There's:
Laurent Broissoit/Eric Comrie in Winnipeg
Louie Domingue in Tampa (who's already cleared waivers)
Jonathan Bernier/Calvin Pickard in Detroit
James Reimer/Anton Forsberg in Carolina
Anthony Stolarz/Ryan Miller in Anaheim
Malcom Subban/Garret Sparks (lol) in Vegas
...and that's about it. And also keep in mind that the Leafs need a backup who's right around the NHL minimum salary.
Last 2yrs
Miller 48gms, .921sv%, +1.8dsv% --- 5v5: .937sv%, +1.7dsv%
Brossoit 35gms, .911sv%, +0.6dsv% --- 5v5: .929sv%, +0.8dsv%
Reimer 80gms, .907sv%, +0.3dsv% --- 5v5: .914sv%, -0.3dsv%
Forsberg 30gms, .908sv%, +0.2dsv% - 5v5: .907sv%, -1.1dsv%
Stolarz 18gms, .902sv%, -0.2dsv% ---- 5v5: .919sv%, +0.4dsv%
Subban 43gms, .907sv%, -0.4dsv% --- 5v5: .920sv%, -0.2dsv%
Bernier 72gms, .909sv%, -0.6dsv% --- 5v5: .922sv%, -0.5dsv%
Domingue 45gms, .902sv%, -0.9dsv% -- 5v5: .913sv%, -1.0dsv%
Sparks 20gms, .902sv%, -1.7dsv% ----- 5v5: .912sv%, -1.1dsv%
Hutch 12gms, .892sv%, -1.9dsv% ---- 5v5: .902sv%, -2.0dsv%
Pickard 18gms, .874sv%, -2.9dsv% ---- 5v5: .893sv%, -2.3dsv%
Comrie: 4gms, .861sv%, -5.4dsv% --- 5v5: .856sv%, -6.4dsv%
Knocking on carolina, Anaheim, or Vegas's door right now might make sense.