Our dog would shake with fear whenever we put the cone on, so we bought a cloth-covered inflatable doughnut collar like the one below
http://www.amazon.com/Contech-ProCollar-Protective-Collar-Medium/dp/B001FK43ZC/ref=sr_1_8?ie=UTF8&qid=1458386402&sr=8-8&keywords=inflatable+dog+collar
She didn't mind it at all and even seemed to appreciate having wearable pillow to lie on. She was able to relax once the cone was gone.