We didn't have RF-4Es either.
We only had F-4B, F-4N, F-4J, F-4S and three flavors of RF-4B.
If you only want to have a Light Gull Gray over White aircraft, the Japanese operated the F-4E, as the F-4EJ, with the USN paint scheme for a number of years when they first got them.
You could build it as a What If in USN or USMC markings,,,,,,,,,,or as an Aircraft Gray USAF aircraft,,,,,in addition to all of the other USAF color schemes.
The one major difference between all of the USN variants and the F-4E was that the nose was different and we didn't get the gun.