You shouldn't need crazy statements. Tell them it would be a financial hardship to lose your deposit.
Emphasize the money portion. I was called for jury duty once and people were stating their reasons for not being able to serve the length of the trial. The person ahead of me said he was teaching in a summer program and was denied. I almost put my hand down because I was also starting summer school but then decided it couldn't hurt to say something. I included that the time was a third of my pay for the next three months (because, as a teacher, I wasn't getting paid during the summer except for that 5 week program). The judge said, "That sounds like a financial hardship" and dismissed me. The guy before me was like, "Wait, that's my problem too." I don't know what happened with him because I was walking out.
You could also try calling again. Even though they moved you once, they may be able to move you again to a time you can serve.