If you can fit the set into a padded USPS priority mail express international envelope, that'd be the way to go. $45 postage, includes priority-level tracking (so very accurate), $200 in insurance, and is delivered in <7 postal days (but beware, there are delays in shipping right now).
Your biggest issue getting below that cost is the insurance. USPS doesn't allow it to be added on to FC packages (ruling out $13 postage), and the smaller priority packages (not express) are excluded from their indemnity policy as well (ruling out $25 postage). Last I looked, prices from other carriers were absurdly high for priority international shipping, but you might look around.