I've never seen an FSL one either. Maybe another Cutie can make a suggestion. Cassandras has a 3-D applique one that's meant to be used as a child's toy (either 5x7 or 6x10). Maybe that would work?
Have never seen an FSL one, but if all else fails, embroider one on an FSL coaster. The following link has three free helicopters to pick from. Probably use the smallest one.