Just wanted to put an update here:
We went to the council office on the 8th to apply. Had a wonderful lady who did my assessment. Ordinarily people look at me and I can tell they are thinking "You are so not disabled," but she listened to me and seemed genuinely concerned, and was very helpful. It took about 2 weeks to process the paperwork, and then I was told that I was approved and brought in my additional paperwork. They were a bit unsure if I was eligible based on my spousal visa, so they spent about 45 minutes calling around and researching, but eventually determined that I could have it! Took my letter to the post office, they sent it off, and my Freedom Pass should be coming in the mail within 2 weeks!
Thanks for your research, Weby! They could use someone like you there.
Would have found their answers much more quickly.