dunno if old news, but if you can't wait or want a peek at the campaign right now, do this:
Create a document in Notepad, make sure to save it as "All Files" and name it regions.xml, put this into your Starcraft II folder.
Add these lines into the file:
<regions>
<region displayname="AUTHENTICATION_SG_REGION" hostname="sg"
allowedProductLocales="all" localesThatDefaultToThisRegion="enSG"/>
<region displayname="AUTHENTICATION_US_REGION" hostname="us"
allowedProductLocales="all" localesThatDefaultToThisRegion="enUS"/>
<region displayname="AUTHENTICATION_EU_REGION" hostname="eu"
allowedProductLocales="all" localesThatDefaultToThisRegion="enGB"/>
<region displayname="AUTHENTICATION_KR_REGION" hostname="kr"
allowedProductLocales="all" localesThatDefaultToThisRegion="koKR"/>
<region displayname="AUTHENTICATION_SEA_REGION" hostname="sea"
allowedProductLocales="all" localesThatDefaultToThisRegion="enSEA"/>
</regions>
Like so:
Then, launch your game and log into your normal region, log out and you should see a button called "Regions" on your login screen for SC2, pick Korea & Taiwan, make an ID, go to game options and select Heart of the Swarm expansion level. You can now play the full version of the game if you can't wait the 10 hours.