Mike,
LOL, I don't know of any LH Kimber 222s that exist. I just know that it was an option. I bought both of mine through Gopher Supply or Lock, Stock & Barrel between 85-88 and know that Kimber was pushing out some interesting options in their catalog. My M82 is LH799 and is the vanilla version. I decided to spend a bit more for the 84. Both have proven to be reliable and accurate. The 84 is my favorite calling rifle when I take a bolt gun. My .223 choice back then was based on a decision similar to the OP's. I was sitting on 3 cases of Remington non-crimped primer .223 and wanted something lighter than my 700 BDL varmint. If the OP found one I don't expect it to be cheap but he didn't specify a price range.
Thaine
Edited to add
This One which was sold.
