I don't think any of this is possible to give you, maybe using the SAML Trace plug-in in Chrome, for the following reasons:
1) We don't use your XML file format for configuration, everything is done programmatically. With federations (https://www.ukfederation.org.uk/
for example), the metadata has to be programmatically retrieved and updated daily, and we have 7 federations in our setup. The metadata from them has thousands of schools, though we only have contracts with a few, so we can't load it all.
2) We don't use any of the built-in tracing in ASP.NET, because it is too limiting. We have written our own classes to do logging that write directly to the file system, and connects to our alerting systems.
As for the certificates, we load all the certificates into memory for every school we support in the federation, and when you ask for them (via the ICertificateManager interface, which we implement), it must find them, as it is working correctly except for this.
I will try and get a SAML Trace from Chrome for you, though we have to wait until we get credentials from the schools IdP to be able to sign in and complete the flow.