The DataSourceResolver, although a public type, is primarily intended for internal use. The DataSourceKeyNames (and DataSourceKeys, along with several other properties) are only loaded after several other trigger events.
The best thing to use to look at connection strings in the IdeaBladeConfig.EdmKeys collection, like this:
foreach (var key in IdeaBladeConfig.Instance.EdmKeys) {
Debug.WriteLine(key.Name + ": " + key.Connection);
}
If you omit the connection information from your client-side EdmKeys in an n-tier configuration (as you should), then the connection information is available only from server-side code.