There are some small frame Martinis floating around out there in .222. Most are Cadet conversions, but the nicest ones are built off a rim fire thick wall action converted to centerfire. They are fun little rifles and can be quite accurate. If you can find one, they usually run in the $500-600 range without scope. (Many of them will have bases for Unertl/Lyman scopes, but that will add a fair amount of money to the package as those scopes are now bringing $600 and up in good condition.)
If my memory serves me correctly, a local dealer has a Ruger No. 1 in .222 on his rack. Can't remember the price. I think it's a No. 1 AB (22 inch barrel with the longer non Alex Henry style forend) and may even have a scope. I'll PM you the name and phone number of the dealer.
