Hello, I got my exemption approved for a university a while back. I said nothing of the vaccine, but instead reworded to me being responsible for my own choices, I decide what's good for me. I used Corinthians 3:16-18, that states that not only should I maintain my temple, but that if it was destroyed, that it would destroy me. 18 states that I should not try to be deceived into destroying my temple. Hopefully this helps. I followed the strict guidelines of showing your faith, don't talk anything related to vaccines because that's going to be ammo against you. Best of luck!

Edit: Forgot to mention you can use this in junction with the resources OP listed above. Hopefully this doesn't confuse you since OP and I had different forms and therefore different things to fill on the form.