If continuing to use your current hosting provider is important to you, I suggest you ask them to integrate Let's Encrypt on their end. (That could include just letting you get Let's Encrypt certs through cPanel; it doesn't necessarily have to mean a lot of coding for them.) We've been talking to a number of providers of various shapes and sizes who are doing this or planning to do it. It's the best option for hosting environments where the customer doesn't have administrative access.