Want to gift a game pack, but don't know Origin ID or email. Can't buy code in box so I can wrap?

So, is gifting impossible now if you don't know a person's Origin ID or email address? I was hoping I could still buy the game code in a box so I could wrap it and give it as a gift. You know, like traditional gifts that somebody might want to put under the Christmas tree? A digital download can't very well be wrapped, and it absolutely ruins the surprise if you have to ask for their Origin ID. Also, just how do I give it to somebody if it's on MY computer if I don't want to ruin the surprise??? I mean, come on, EA! Think of the users instead of just your !@#$%^& money-grubbing selves for once! :( :s :'( >:)