There is a group that can help you out. The "Emblem Trading, Icon Creation" group provides assistance by putting you in contact with others seeking icons. Check it out here: www.glitch.com/groups/RIFLA...
If you have one emblem for each of the giants, then you can sign-up for the giant whose icon you would like. Once the round is closed, just submit your set of 11 emblems and receive your icon in return. There are NO ADDITIONAL COSTS involved in this process, no charges or hidden fees. (Though if you are mailing your emblems to the round organizer, you are responsible for the postage charges to send them your emblems).
This way, you do not have to wait until you have 11 emblems from the same giant--you can have your icons NOW!
There are currently two rounds open. This one is the closest to completion, with Icons for Lem and Zille still available: www.glitch.com/groups/RIFLA...
But wait, you say, I want the "Giant Lover" achievement. Well, come get acquainted with the Emblem Trading, Icon Creation group. Once you make contacts there, you can ask to host your own round, and get the achievement that way.
So, come on down and claim your icon now!