If you belong to a church, maybe you could ask your pastor if he knows of any local youths that might be looking for some work.
My pastor keeps a list of names of kids he knows that are interested in babysitting,mowing lawns etc.
In fact my son has gotten many lawnmowing jobs that way, as well as my daughters babysitting jobs when they were growing up.
You could also put a request in your church bulletin.
The other thing is maybe you could talk to the principal at your nearest high school and ask them if they know of anyone looking for a job like this.
They won't be able to give you the info, but they could pass along your contact info.
If you work outside the home, maybe a co worker would be willing to do it.
I would think it would be a great chance for someone with kids to do this, especially for anyone who has never been around chickens or ever had the opportunity to collect eggs.
I would tell them that they can also keep any eggs when they come to collect them.
There has to be someone willing to do it , good luck and keep looking.