Question about stray cat surrendered to AZ humane society

We've been feeding a stray cat for about a year when we saw that he had a limp and took him in to the AZ humane society papago campus around mid-March. We signed him over but this was our first time doing this and didn't really understand their policies. He was found to have a heart murmur (limp was non-existent when they examined him lol) and they put him up for another non-profit to take over his care. I asked that my info be passed over to that organization so I could follow up on him but nobody has contact me. We already have 3 cats so we can't adopt another but I just want to know how he's doing 😭 We would bring him in sometimes when the weather was bad and he was super friendly but would loved the outdoors and would always try to run away. I've tried to follow up with the AZ humane society to ask if they got my info but they seem annoyed and honestly make it seem like I'm some abusive parent trying to get ahold of their child. I know that's not the case and they're just following their policies but I just really want to know if he's doing okay! Anyone have advice? I've tried looking for him on different non-profit websites but I haven't seem him yet.