talk to the manager of your cc. I certainly wouldn't like to leave my baba with someone that doesn't have time to clean the nose (or let her cry forever!).
My daughter goes to childcare 3 times a week and every second week she has either fever, cough, cold or a combination of all... I've taken her to the pediatrician, done tests, results? childcare... and again "her immuno system is building up"... guess what? she is on her 4th cycle of antibiotics and I am not happy about it. But she loves the childcare, the carers are great (they clean her nose, not let her cry and call me when she is really distressed) so I will stick on it.
Remember it will get better eventually. (my only concern in your case is the lack of attention for the kids... I would sort that out with the cc)
good luck