you can get a cheap blocking “board” by using a cardboard cutting board (about $5 at JoAnnes or other sewing stores)
cover it with saran (the self sealing is best) or contact paper)
OR hit the home improvement stores.
Insulation boards (2 feet by 4 feet) are under $3-each are 1/4 to 1/2 inch thick… 2 give you 4 X 4–(or 2 by 8 for an extra long scarf/shawl) and they are thin enough to store easily (behind a set of drawers, or in a closet, or under the bed)
PS–if you look up in business directory, find a Welding supply place… Stainless steel welding wires… (each about 3 feet long) are much cheaper and make great blocking wires… bring a needle gauge and get ones = to about a size 2 or 3 needle.
(8 wires are usually less than $5 bucks… ) use a dowel to store them
(a light rub down with a dry cloth before you use them is in order…)