daughter won't sleep without binky

My daughter is 1 1/2. We had to throw her binkys away because of a sewage overflow in our home. My hubby left the state for work until Saturday and I have no way to the store, nor do we live near anyone. She hasn't taken a nap and it's an hour past bedtime and she's still screaming. She won't stop and she won't sleep. 
She hates to cuddle, so that doesn't work. I tried to sing to her, watch cartoons, everything. I've given her juice, snacks, toys, everything! She just won't sleep without it. I don't know what more to do.. it's been over an hour.