I don't know about dampening, but to keep things from going crazy and flying out my wife has a net like the one in the post above, but its a motorcycle net I got for like $4 at Harbor Frieght. Suprisingly my wife doesn't think its ghetto.

http://www.harborfreight.com/motorcy...net-67010.html

In my folding basket on my bike I put things in a bag of some sort and then I secure it with a D-ring belt I had lying around. Works great and my stuff doesn't move around. I bought mine years ago for a real belt, but here are what they look like. There are plenty of straps of some kind you could use to keep things solid.

http://www.armynavyshop.com/Merchant...army-navy-shop