From my calculations it shouldn't be more than $15 to ship anywhere in the mainland. I can try to break it down and fit it in a flat rate box but then some assembly would be required if that's okay (2 screws).
if this could fit into a 8-5/8" x 5-3/8" x 1-5/8" which is a small flat rate it will cost 5.20 at the post office or 5.00 if paid on line. i looked it up