There is no regulatory requirement or practical necessity for obtaining photo identification.
Banks use other methods to verify identity when they are opening accounts online. Banks in states with significant Amish populations also frequently create exceptions in their CIP for people who do not have photo identification based on their religious beliefs.
You may draft your own language based on the tack you intend to take. In some cases, banks require a birth record and a verbal verification from a known "elder" in the local religious community. In some, the religious community issues laminated cards that identify the holder as a member of the religious community. Note too that some states offer "photo exempt" identification.
Whatever flexibility you may choose to offer in the way of photo identification, you may not waive or dilute the requirement to obtain a U.S. TIN from a U.S. citizen opening an account.
In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.