I'll second to Sean, indeed usps is the most economic way to do the shipping to taiwan compare to fedex or ups , my previous experience is that if you do global express through usps it'll cost you merely $30~$40 with 1B2S, takes about 4-7 days to arrive with tracking#, I guess thats reasonable, no prob at all with the delivery. thats the way I recieved most of my cues from Az'ers.
there's one thing that might need to be taken care of, and thats the custom that may incurred during the shipping , no matter what the real value is, state no more than $200 on the item description and put a label on the package as a gift , the premise is that both party must have an accord beforehand in case the package is stolen or lost, while I don't have such an experience however I did pay for $150 of custom just because I requested the seller to declare the value as it really is

Well, its kind of easy to do paypal or international wire transfer through local bank in Tw, IWT will charge the sender $13~$15 extra for processing .
I work in the bank thus I am familiar with the process. I reconmmend both way.