Okay, so this one hasn't actually been released yet and wont' be until summer of next year (July 2017), but I think it might be worth keeping an eye on.
When Your Elephant Has the Sniffles -
https://www.amazon.com/dp/1481495046 -
"When your elephant has the sniffles, you better make sure he doesn’t sneeze! This charming and hilarious board book highlights the many ways to make an under-the-weather elephant feel better!
Does your elephant have the sniffles? Make sure to take good care of him because you don’t want him to start sneezing. Gather up your tissues and your pillows and make that elephant feel better! But don’t get too close…or you just might end up with the sniffles, too!"
Is being released alongside another similar title by the same author/illustrator combo -
When Your Lion Needs a Bath