Go ahead and encourage her to hug this teddy bear. Henry Warmheart ($45) is filled with flaxseed, which holds heat and cold for long periods of time. Simply put him in a plastic bag (to protect him from moisture), place him in the freezer for two-three hours, and then encourage your lil one to hug him. She'll feel the cold for hours (just don't leave her alone with the doll).
A Hidden Coldpack