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A bit like hen's teeth or unicorn poop to find to buy, but this is pretty much what you want? Leupold FX-1 4x28 rimfire; 7.2 ounces, 9.25" long. 1" tube. I believe the older versions by Leupold, before FX-1, were called "Rimfire Special". I see several of them - both types - for sale on EE in WTS Optics.
If you can find one, a Weaver Classic series R4 (4x28mm) will do what you are asking. Overall length is ten and a quarter inches, parallax is fixed at fifty yards. They were made in Japan.