Alright, so I have tried finding it using the Search Shops option as well as the Trading Post, but I can't find it. What would you price a Dawn Lain Elixer at?

It's elixir, not elixer. :) Probably why you couldn't find it in shops.

It's selling for 23 500 sP in user shops.

/fail. Damn typo. That explains it. Thanks.

Locking as this item is priced in shop search :)