Looking for 12v source while cranking
I wouldn't recommend the coil/injector circuit because if you shut the engine off at just the right time you will have the coil energy back feeding on that circuit (since it can't fire the coil).
The AC clutch circuit is also not a good choice because it is tied to the AC relay and the AC clutch and the AC clutch is a fairly noisy device.
The best source for a 12v switched source on a 2002 F-body is going to probably be:
PCM IGN fuse, 15A.
Circuit # 439.
Wire should be pink and blank.
The fuse panel for that is labeled underhood, bottom.

