I need some help with this please?

okayy..so i have two cats. they're both male and they're a year old. also they're brothers. now i can't afford to pay for them to go to the vet to get their shots or to get nurtured. i live with my family still..me and my boyfriend do and they're our cats. my mom doesn't have the money to pay for them to go either. i mean we have money for food and litter and all that you know. but its really expensive for their shots and stuff. and also i believe one of them might have a bladder infection because he keeps trying to pee EVERYWHERE and nothings coming out and when he does pee some blood comes out with it.. my aunt said it cold be kidney stones also. but anyways. what im trying to ask here is if someone can help me find some place that will take them that wont euthanize them. i want them to go to someone who can afford to pay for them. and make them better. so thats why i will NOT take them to the animal shelter here because they'll put them down right away..because right now they have an over abundance of cats. i also found a place called paws humane society or something like that. but they dont actually take the animals they just help with you're payment of the shots and what not. which still if they helped us it would be 65 dollars for each of them to get their shots and neutered which we just dont have the extra 130 dollars right now. im not someone who would put my cats outside. i want them to go to someone or some place that will treat them with love and care for them. so im asking if anyone can help me find a place around my area. i just dont know how i would search for that. i live in machesney park, illinois. which is right outside of rockford. so anything in rockford would work too. it can be a cat sanctuary, or maybe foster families. or something like that you know. but NOT the winnebago county animal shelter. i will not take them there. so please dont suggest that. thank you to anyone that takes the time to help me with this. i appreciate it so very much.