There are hosting plans without MySQL database. This type of hosting account are unlikely to use high CPU usage and thus more hosting account can be hosted on a single server.
Hosts below offers hosting account without MySQL database :-
- IXWebhosting, $3.95/month.
- VistaPages, $3.95/month. CPanel.
Important note : You can’t install or run most application especially forum, blog and etc. You can, however, host Blogger website.