Special Handling tag has nothing to do with the suspension. Common tag on fleet vehicles.
Quote from Alaskan TA:
There's nothing particularly rare that would effect pricing or desirablity about that 69 Barracuda 318, Console, auto that was originally painted Y3 yellow gold (almost a cream). Car now color changed to metallic tan.
What is odd is the H6V interior code. Or is that last letter really a V ? If so, that is for white and red two tone and says not available for convertible.
http://www.hamtramck-historical.com/images/dealerships/colorAndTrim/1969/69_Barracuda0003.jpg
Could that not-recommended color combination have triggered the "Special Handing" ?? I doubt it since I don't see any Y special order codes.
But that would be better answered by Alaskan TA or 6bblgt
To me it looks like they added the tag when they repainted/color changed it.