Update: I may have spoken too soon about the minimum amount required. It seems that you still need to put $25 dollars down on the gift card to trigger the MAIL delivery option. Any smaller amount and your only options are e-mail or mobile delivery. At least one person was able to get the smaller amount and mail delivery, so YMMV. Good luck!
Did you miss out on buying the 2011 LEGO Target Giftcard set in store? Well they are now available online
And in case you're wondering, the actual gift card part of the product is on the plastic case itself. There's no separate card physical card.