I'm wondering if by the time she misses and runs off, the mouse has lost some heat. Have you tried re-warming the mouse to regain an enticing heat signature? I find warming it with under a CHE (or hair dryer) tends to help, especially around the face/muzzle. A live mouse body temp is around 98-100F after all.
Alternatively, if re-warming doesn't work, have you ever tried just leaving the mouse outside her hide (but not blocking the entrance) overnight?