A few questions, clues and thoughts........
Does your rifle have a black fore end tip and grip cap......or, does it have a "Classic" stock?
Go to this website and look at the (white-on-black) image in the upper left corner of the home page and see if that matches the image on the floorplate.http://www.wildsheepfoundation.org/
If so, the foundation (FNAWS) had/has annual fund-raising banquets and has had Remington create unique firearms and engraved floorplates for them. I know, because I did computer consulting work for them in the late 80s and early 90s and have an engraved floorplate that they gave me (with their FNAWS letter logo but no ram image) from 1990.
The .222 Remington was the cartridge chambered for the 700 Classic in 1993.
N - 1993 - 222 Rem - 2021 (number made)
Did you specifically check the barrel date code? What is it?
Could be a dinner/auction gun from FNAWS or some other organization.
Could be something that someone made up from spare parts.
May or may not be anything connected to FNAWS or any of its state affiliates.
The image on the floorplate would not have been something that Remington produced for "stock" firearms......only special orders for organizations like the one mentioned.