We have purchased this kind of item in the past and believe there is no other way to do so that is as simple and inexpensive as through Appliance Factory Parts.
Cover
If your cooler is hanging with chains it would require chain splits and we would need to know where they are attached to the cooler. if you order this part please reach out and send us pictures with the information.
Buy this part and as many parts as you like and pay only $9.99 shipping, within the Contiguous United States.