I owned several Savage 24's and was frustrated with their poor quality and shoddy engineering. They just didn't work well. Now, like Mule Deer, I carry a couple of different drillings, which are a lot more money - but you do get what you pay for!

The closest thing I have to what the OP is asking for is this Heym 16 ga over .222. It is a very nice rig and with its aluminum alloy receiver, weighs under 5 lbs with the claw mounted scope removed.
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