Getting from Dulles Airport to Front Royal, VA - public transportation options

[weisan]

I am joining NHAero pal on a bike adventure trip to Front Royal, VA in early May with the exciting possibility of riding with Baron Blubba and AngryScientist pal as well. I will be flying from Austin to Dulles Airport. Normally, the transfer from Dulles to Front Royal would be an easy 1-hr bus ride offered by Virginia Breeze bus line, the only issue is the earliest flight from Austin to dulles won't get in till 11:25am and by then the bus service offered only once a day would have already departed at 10:45am.

The question is, other than a rental car or uber, are there alternative public transportation that I can take from Dulles that will get me close to within 20 miles of Front Royal - coz' if there are, NHAero pal has kindly offered to pick me up at the rendezvous point.

Looking for suggestions and ideas from pals who are familiar with that area, thank you.