Due native USB bidirectional I/O performance [Now with specific example]

If you post some code, I'll give it a try here on a couple other boards. I have a collection of every Arduino compatible board which currently supports native USB: Arduino Leonardo & Due, every Teensy, Maple, and Fubarino Mini.

It could at least be a sanity check. But until you actually post something, nobody could even begin to guess why you're experiencing these speed issues.