Hi James Truxon,
Reviewing through your description there are a couple of options available if you are interested in syncing over org chart data as this is not available with a SAML configuration:
1. If you are using an LDAP server, you can sync over this information via that connection - LDAP and Active Directory Guide
2. If you are using a SAML integration and are also wanting to sync over org chart data our Professional Service's team has developed an add-on that will allow for this functionality - Advanced User Sync Connector - If you are interested in this add-on please either reach out to your account manager, or submit a case in your customer group ( MyJive Secret Support Group Administration FAQ ) as a next step and a member of or support team can assist in setting up an engagement.