Dude, I've been asking this since getting my Tahoe LS 6 weeks or so ago. No answers here.
While at the dealer for something unrelated, the parts counter guy told me the center console storage bin/armrest/cupholder from Silverados would fit. They're like the cheap-@$$ jumpseat we have, but it has a latched lid and three cupholders along the front edge, instead of the two we have. No more cheap open bin.
I originally wanted to replace my center jumpseat with the full console treatment seen in the spendier trucks, but those have the rear heat & AC controls built into the back of 'em. My controls are on my truck's headliner, so that wouldn't work.
I think the Silverado one is the way to go. It's $350 or so. Pricey for what you get, but it is a much better solution than the useless open bin.