I've attached a solution that works with your setup. This uses the “pintoanimation” attribute and the Connectivity SOP.
If you have multiple separate Cloth Objects, you could create an alternative setup that uses the settings on the Initial State and Creation tabs instead.
In the help page for the finite element solver, there is a subsection called “User Control Attributes”. For constraint workflows, the relevant attribute names, beside “pintoanimation” are “targetP', ”targetv“, ”targetstiffness“ and ”targetdamping".