See attached document. Thanks to @canthonysmith for double checking the document.
I have two custom VMs that work great for this type of project.
Hosting options:
1] VirMach webhosting $5/mo Shopping Cart - VirMach
* "Maximum 250 e-mails per hour"
* "All plans come with a free domain (forever!) on annual purchase"
2] Create a LAMP droplet at Digital Ocean: LAMP Hosting | DigitalOcean Marketplace 1-Click App
3] For the really adventurous, install a domain hosting control panel on blank droplet/VM
4] FreeHosting Free Hosting package
* Czech Republic
* Everything to easily do this project if you believe the Fair Use Policy allows you to do so.
* By listing this as an option, I am not interpreting the Fair Use Policy for you. That is for you to interpret.
5] x10Hosting Free Hosting Features
* "We are currently not accepting new accounts while we perform maintenance on our backend systems. We expect to re-open by the end of March."
I have two custom VMs that work great for this type of project.
VirMach (Webmin/Virtualmin) = 512MB Memory / 15 GB Disk / Atlanta = $2.50/month
You have to leave Webmin/Virtualmin off while not using it or upgrade else you will violate the disk I/O fair usage policy.
Digital Ocean (VestaCP) = 1 GB Memory / 20 GB Disk / NYC2) = $5.00/month