You can drive Fiddler via automation (ExecAction.exe) or you can build an application using FiddlerCore. You can also use Fiddler's API Testing feature
to run a scenario and record its output.
However, if by "traverse across all the URLs" you mean "Navigate a web browser instance to" you would probably do this by pairing Fiddler or FiddlerCore (for network capturing) with a browser-driver like Selenium or the like.
Do you want to have your say when we set our development plans?
Do you want to know when a feature you care about is added or when a bug fixed?
Telerik Feedback Portal
and vote to affect the priority of the items