Here's an odd vessel -- not really Navy but a ship and defense-related as part of the Missile Defense Agency. The Sea-based X-band radar (SBX-1) is related to oil platforms, but carries a huge radar for the long-range detection of ballistic missiles. SBX-1 is large -- 50,000 tons -- and has about 75-85 crew aboard. It is self-propelled but for longer journeys tends to rely on heavy-lift ships.
https://en.wikipedia.org/wiki/Sea-based_X-band_Radar
Two photos:
1) Loaded aboard a heavy-lift ship entering Pearl Harbor. Here you can see the entire 279-foot height.
2) Ballasted down and on station. In this condition, SBX-1 has a draft of almost 100 feet.