What's the easiest/cheapest way to create a cloud-based SQL database?
StackMob has a free package that you can use. You can use the JS SDK to write your HTML5 app and save stuff to the StackMob DB. You can host your HTML5 on StackMob for free and point your own domain to it as well. There is also S3 integration.
Some references:
Create a Postgres database on Heroku for free.
https://devcenter.heroku.com/articles/heroku-postgres-plans#hobby-tier