If you’re interested in giving Moodle hosting on Amazon’s cloud services a try, Jumpbox’s Moodle hosting at AWS is free for 30 days. The service uses both Amazong EC2 (Elastic Cloud) and EBS (Elastic Block Store) to host Moodle in a cloud environment serving up a totally flexible hosting scenario for your Moodle. A similar service is offered through Bitnami as well.
According to the site
The JumpBox for Moodle is a great way to get up to speed with Moodle and requires a minimal investment in time and money. Open Source Software is free but your time isn’t and JumpBox is here to help with commercial solutions to simplify the deployment and management of Open Source software on Amazon EC2.
Unfortunately the service is still installing Moodle 2.4.3 so you’ll miss out of some of the newest features in Moodle.
Find out more at https://aws.amazon.com/marketplace/pp/B007IVGRD8/#product-details