$103k-$134k sounds very market rate to me... Maybe not for the San Francisco Bay Area but for areas outside of that it seems fine.
It is above average for the area (across all levels of experience, for a very experienced developer it probably isn't), but it is not very far above average, so I would expect someone capable of handling such a massive and critical project to be making significantly more.
Plus, would you really want to endure the months of their hiring process (which intentionally filters out people not wanting a long term job) just to join an agency that has no promotion potential for you over the long term?