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@36x18
Alex, we need to make sure we're all talking about the same thing in the same way. The way you're talking about internal and external cones is confusering the issue.
The hubs have 'cup and cone' bearings. Between the cup and cone are the ball bearings. The axle has a diameter and a thread pitch. The cones thread onto the axle. The cups fit into the hub shell, and don't touch the axle. (Not if it's working as God intended.)
The last image on this page from Sheldon Brown shows the axle, locknuts, washers and cones. The axle of your rear hub should have a 10mm x 26tpi (threads per inch) diameter and pitch. You will need cones to fit that size.
The cups are a different problem. The link Fruit provided is great; it shows all the components we're talking about. The bearing cups for the rear are numbered 738. It sounds like you need to replace them. How you do that I don't know. You may be able to do it with a suitable drift and some careful persuasion (as per thumbnail). If not it may be a job for a sympathetic engineer.
Its possible that in the past someone fitted a set of caged ball bearings into the hub, and its the cage that has broken up. Caged rollers are for kids bikes and have no place in Campy hubs.
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