I have to say that, in spite of surely well earned the reputation furries have for being nice people, that is one of the weirdest suggestions I’ve ever heard.
Substitute furries for any other sexual endeavor.
Look up BDSM groups around you. No, you don’t have to be a dom/sub to go to one.
Look up gender transition groups around you. No, you don’t have to be trans to go to one.
YES, YOU FUCKING DO!
My dude. Things cost money. That’s a basic fact of life. A rec league needs to rent space to play in. You need gear to play. If those facts taint the activity for you I’m not sure how you can even handle the horrific crassness of paying for a place to live. You should probably live in a hovel the woods. One that you didn’t pay for.