Anyway at all you can make an abstract hat out of stylized versions of the F and C characters, and have it still look like a hat? I've utterly failed in any attempt. I look at your abstract hat sideways and I see an S and a B. If only those letters had significance for the project I think we could fool the powers that be that it really wasn't a hat at all.
http://fedora.nicubunu.ro/fc.png this look a little too abstract to me, is not very clear neither "FC", nor a hat
-- nicu Open Clip Art Library: http://www.openclipart.org