The Regency Suspension Bridge. Located in Mills County, deep in the Hill Country, over the Colorado River. You can see this bridge in the opening sequence of The Texas Country Reporter, when host Bob Phillips drives across. I did drive across, knowing that my hybrid weighs a lot less than Bob Phillips' SUV.
Looking east.
Looking west.
For some reason, the historical marker for the bridge is Goldthwaite, 20 miles away from the bridge.