I'm not sure how large the background file is but it took a few seconds to load. That may be a visual effect you're going after but I'd think you could compress the image a bit more. Just a heads up.
To use something like Twilio, you'd have to pay. It's not immediately apparent, but this operates entirely for free, using the 'email to SMS' bridge that all major carriers already have. At some point I'll open-source it, but essentially, it just replies to emails using SMTP.