I was about to contact a photographer who has a gallery of the moontowers to use one of his pics (attached). But then I thought, it would be better if I can get a more recent pic since they are with LED systems now.
All of Austin's moontowers were photographed in 2006 when they still carried mercury lamps by Andy Mattern:
HERE. (Scroll to the right, click on each for bigger). As you can see, most of them were photographed near dusk, when the lamps were lit (a few not working) but the sky still bright. For someone who has problems driving at night, getting a similar pic would would be difficult. Planning is key. Fortunately all the locations of the towers are identified on each pic (just google-map the crossroads listed). You can be at a tower ready to shoot when they come on, then immediately leave. Hopefully it will still be bright enough for your drive back. If that's not possible, then a stay overnight is in order, photographing a tower (and possibly two) well into the night. Let me know what you think as I'm open to suggestions. Compensating two hours of gas round-trip would pose no problem on my part.
Here's a
TIMELINE of these towers with a few more links at the bottom.