I would stretch out your doses as long as you can. IMO, that would be much better than going off completely if you've got the choice. Are you on weekly or biweekly injections? I'd also maybe consider decreasing your frequency until you can get a refill.
I had to go down to a half dose 4 weeks ahead of top surgery, and then stop altogether 2 weeks out. I wasn't allowed to resume until my drains were out, so I was on a half dose for 2 weeks and then off for 3. If it makes you feel better, nothing bad happened to me. I got fatigued a little easier, and I was constantly paranoid that shark week was going to immediately start up again, but it never did.
I do agree with Alex - most doctors are loath to take a patient off their medication without reason, and for most the only logical reasons to do so are (1) you no longer need it, or (2) you're experiencing negative side effects. Do you have anyone that would be willing to go with you and advocate for you?