Two clarifications (rather than answers): Evidently, you mean chaperones that act by creating a confinement region (a cage) of boundaries (walls build of amino acids) of desired hydrophobicity distribution, where proteins of with improper conformations can get better. Protein atoms perform thermal movements so to a little degree they can search for an optimal conformation, but it's not enough - it seems that proteins are (sub)optimal by design (i.e. by evolution). I wrote sub~, because the global minimum POV is a hypothesis (and there may exist separated kinetic xor thermodynamic minima).
There was a similar project created to fulfill the MSc diploma requirements of one of Polish polytechnics (Krakow University of Technology), though this one is surely lacking the biological side.