Not sure where you got the $27.00 price.
Sending a letter via first class international mail to Australia costs $1.20 for up to 1 ounce, plus an additional charge of $.21 if the letter is not machinable (can't be processed by machine). Paying this extra fee is highly recommended if you're mailing coins, by the way, due to the slightly uneven bulky nature of the envelope.
That should be more than sufficient for sending 1 coin properly protected in a regular envelope other than a padded mailer type.
What you don't get for that rate is insurance or tracking and it will go at a slower speed, so please expect delivery times that could exceed 3-4 weeks.
It's a misconception that you can't send merchandise via first class mail. The restrictions are size, weight and thickness of the envelope only. Like most countries, the restriction for Australia, for instance, is 3.5 ounces maximum weight.
The key issue to watch is package thickness and uniformity. Anything more than about 1/4 inch thick runs the risk of getting kicked up to first class package prices, but even then Australia should only be around $17.00 and that get's you tracking and a minimal level of insurance.
Additionally, mailing via a first class international letter generally doesn't require a customs form, whereas the first class package form does. The customs form means the package has to be handed across the counter to a clerk, rather than just dropping it into a letter box, so there's an extra trip to the post office involved.
https://pe.usps.com/text/dmm300/Not...23.htm#_c341