I don't have a "snuggly" bed, but I have one very similar...it's a Snoozer Cozy Cave.
Amazon.com: Snoozer Cozy Cave, Khaki, Large: Pet...
As ZoE likes to snuggle under the bed covers in winter, and I keep my home heating setting pretty low, I though she would like to snuggle in it during the day, but she never uses it. I've actually been contemplating for the past couple of weeks about cutting the "hood" off it & just making it a flat round bed.