One of the local day schools on whose board I sit, contracts out all scholarship requests to a business that provides this to Private Schools, both religious (Jewish and non-Jewish) and secular.
The company provides parents with a packet that must be completed. The parents are assigned a number to place on all documents and the personal identifiers are redacted before the packets are analysed by the staff.
The Day school receives back a report with a suggested amount of tuition forgiveness (scholarship) for each applicant by number.
The scholarship/finance committee at the day school determines the total dollar amount of tuition relief that may be granted for the year. It is sent back to the outside company who apportions it to the applicants by percentage to be forgiven. A final report comes back to the school and parents are notified of the award and what the tuition bill will be. Parents then make a decision to accept and sign a contract or reject and find other sources of assistance or another school.
This outside system has relieved the stress of volunteers and their reluctance to serve on the day school board and/or scholarship committee. No favoritism comes into play using the outside company.
I learned about this 10 years ago when I was asked to sit on the Board of a local secular Prep School. Sometimes, we have to look outside the box