Hi @Ray R. Mosely
Try running the snapshot agent using the sql server login which has permission to create/read/write/modify permission on the share location , find the sql agent jobs for replication and see which account they are running as either give this account the permission to read write in file share or change the account as sql server login which already has this permission for snapshot agent from :
Right Click Go to Publication Properties -> Agent Security you will the find the user credential to be used for SnapShot Agent and Log Agent
Can you try to login using the SQL agent service account and see if you are able to access that share location if not sql replication agents (if using the same service account ) wont be able to access it either.
Also is it possible for you to manually create that directory and define it as the location for snapshot folder manually during the configuration?
You can also try to Initialize the replication using the backup instead of snapshot if nothing works.
Also can you please post the full error?
You can try getting more information on same from these few links, but I think changing the replication agent running accounts to sql login and giving this sql login the read/write/create/modify permission on share should solve this problem
Source : Link1 Link2 Link3 Link4 Link5
Regards,
Shivam