OK, went downtown and found that the 1977 Nueces County courthouse IS lit at night. Sorta. They just light the corners of the tower and none of the window area. Weird.
The 1914 courthouse is NOT lit. Looks like a construction zone, though.
I then popped over to Sinton and found that the San Patricio courthouse IS lit. This was 10pm exactly.
Thinking about doing a night drive and checking out Brooks, Duval, Jim Wells, Kennedy, and Kleburg sometime in the next couple of weeks. If I get real ambitous I may check out Refugio, Goliad, Aransas and some others to the North later on.