Adhesive llamas can be stuck to just about anything. Decorating that gift bag for someone who purchased a llama from you. They also come in adhesive suede paper. Static cling vinyl llamas can be stuck to your windows all year round. Use them pulling a sleigh at Christmas time or with flowers in the spring or Easter.
Poly foam makes great llama shaped puzzle.
You can also glue an 8x10 picture of your llama to poly foam and have it made into a puzzle. Use it to make a picture frame around a picture of your llama or someone who really loves llamas. Shopping bags, backs of mailing envelopes, cards, packages, etc.