It won't be all that hot, so I don't really think the floppies are in any risk of melting because of it. Probably nothing to worry about.
It is the lack of heat that would be the issue.
Just roll them in a nice soft blanket. I have one that keeps me warm even in plain winter. We can add a hot chocolate cup and that should do the trick.
To be fair, less entropy means those floppies will last longer - so the heat death should marginally raise the their expected lifetime.