After about 20 different versions, I've finally honed the tape cover to a point I'm satisfied with it.

It bends eventy, and just the right amount, despite having two big missing bits nearly across it.  That was a lot harder than I thought it would be...  

Three reasons I put so much time into this:

• Since it's printed flat,, it's the bottom, aka.. perfectly flat/smooth surface, that is riding against the tape.
• This is the only component which experiences sliding of the tape, and so the only component you should have to replace.  I wanted it to be small and removable.
• You can adjust the dimensions of the hole the part is picked from so as to reduce the tendency of parts jumping out before they are picked.  Aka, use a custom cover for each part if you like.

So without further ado... here is the finished product and my video with rambling explanation.