For a fixed eye with a locked brummel splice, Samson recommends 2 fids for the bury. This works out to a bit more than 4" for the 7/64" AmSteel, if I did the math correctly.
3.5 fids are recommended for the bury of the adjustable eye, because the friction of the bury is all that keeps you hanging.
Depending on what you're planning to do with the dog bone, you could do a shorter bury. You mention locked continuous loops, but consider that continuous loops are doubled up. I have been using dog bones folded in half and pulled through both fixed eyes for years instead of continuous loops at the ends of my hammocks. While I don't see any advantages in shortening the buries, you could probably do it when using dog bones this way without losing breaking strength. But if you are planning to use them as extensions, with one eye on the hammock end and one eye on the tree end, I would stick with 2 fids.
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