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Yeah, that has been my solution as well. Figured out that solution all of 15 minutes after posting once I realized that what I was trying to describe was...basically...a nut. :p
For what it's worth, I didn't have this problem nearly as much with the original design, so maybe it's just a matter of reducing the diameter of the screw hole by a tenth or two and counting on the screw to "tap" slightly beefier threads. But since there's plenty of room in this design for the longer screw and nut, honestly, I like that solution just as well if not better.