They're usually not very secret, and you probably just have to search around a bit. Here's the cable bin on an unidentified ship: http://imgur.com/Oc24DNN
I have attached a few photos that were released by MSC. The first link is a general directory for the entire T-ARC fleet. The USNS Zeus (T-ARC-7) is the only remaining cable laying ship in the Navy.
Another cool thing you can do is use the 3rd link to track a lot of the ship! The Zeus is currently underway in Bermuda. It's not on a mission right now AFAIK. If it goes dark you know it's on a mission for a more secure cable line.
I can confirm that the drum linked above is not on the Zeus. The Zeus has two huge drums like that, but they are below main deck. The Zeus also has a cool as fuck hat that I really want, but so far no crew will give me one. A unidentified high officer said he would give me his if I kept the steering wheel for him after it's removal. Sadly, that'll be in the possession of NASSCO/Shipyard and then MSC after the work.
There's a TV show called "Mighty Ships" that profiles various larger ships (mostly commercial, though some passenger or military). One episode focuses on the Tyco Resolute, a cable laying ship:
Perhaps some PR photos already exist on wikimedia commons.