I've found that the best way to cast an existing appliance is to use alginate - just like you did to make the positive on which the appliance itself was sculpted. Alginate doesn't evenstick to itself (so it doesn't stick to latex), and crumbles when it dries - leaving residue you can remove with a sponge.
I don't know what kind of appliance this is - something you made/something made for you/replica/screen used - but if you can, I would recommend applying it to whatever it's supposed to be applied to, then doing an alginate cast of the application and outlying area - this will help it keep shape. If it's a facial appliance made for an actor - you would apply it to the lifecast of the actor (or a close approximation - something to help it keep its original form), then cast that in alginate.
You definitely don't want to use plaster...