@davidrwarren
The US number will transfer the call to the UK/Ireland for you automatically, so someone will always answer your call if you use the Skype contact/number I suggested; Their accents aren't to bad at all, but as a first generation Kiwi I could just be accustomed to them anyway.
http://www.swtor.com/support/helpcenter/5200#contact-form
This Link Contains all the numbers and options open to you for calling  one of the many Swtor call centers.
Or you can add +18553452186 to your contacts on Skype as this is how I do it from NZ.
*The team that handle the phones are really quick and helpful in these areas, whole thing should take you less then 5 minutes if you use Skype.
*(more likely ~20 minutes on hold due to increased use).