You could mount it with Yes paste onto an eight ply rag board. This is assuming that the medium used on the piece is not water soluble.
Yes past is a none curling vegetable glue, it is also acid free. Yes past is water soluble, so that whatever is mounted with it can easily be removed. Things like canvas can simply be pulled off of the mounting surface if Yes past was used. Fine silks might require a conservator to lift them properly.
Use a three inch, short nap paint touch up roller to apply your Yes paste, work fast, cover your mounting surface with Yes paste so that a larger area than the piece is evenly covered on the mounting board. Sight across the glue to insure no hard crystals are in it. Lay your piece into it starting at one end. After laying it flat on the glue, cover the whole thing with Kraft paper, and with a wadded up dry rag to protect your hand and the painting, work all of the air bubbles out in a sunburst pattern starting from the middle. Either put weights on it, or put it in a vacuum press...no heat.
After it is dry, about ten or fifteen minutes, tear the Kraft paper off in a way that you are tearing away from the painting toward the edges.
For mounting silks and other fine fabrics, the process is the same, except you must first remove as much extra paste as you can so that it does not bleed through the fabric. This is done by first laying Kraft paper evenly onto the past, then removing it from the past. This will leave a very thin film of paste on your mounting board. The rest is the same, but work fast.
Trim the board to size after your item is mounted, never before.
Keeping silks square to the board is very tough, so this method is not applicable to all such items.
-John