Found cat - best no-kill shelters

Hi folks, I found a sweet kitty with his (or her) paw caught in my fence this morning (Tower Grove East area). I freed him, and after a couple hours, he hadn’t moved (I think he was frozen in fear), so I took him inside. He was definitely someone’s pet at some point - he’s sooo friendly, and looks well fed and groomed, and was just terrified to be outside - but I suspect he was dumped :( I got him scanned and he doesn’t have a microchip. I‘ve posted on a bunch of Lost and Found pet sites, but no luck yet. Unfortunately, I can’t keep him long term, but I want to connect him with the best possible shelter. I’m thinking of Stray Rescue St. Louis, but does anyone recognize him, or have any other recommendations or suggestions on what to do? See kitty pics below. I‘ve dubbed him Fluffernutter f