Hmpf... Well, you can do that. You have to follow the
the emergency restoration procedure outlined in our documentation, with one tweak: instead of restoring the SQL files yourself, you will have to put them in the site's root and ask your host to restore all of them one by one (joomla.sql, then joomla.s01, then joomla.s02 etc). After they have done so, you will have to edit the configuration.php file manually. This is a kludge, but you have to live with that if you want to use that host. Also note that you might not be able to backup your website due to the same query limit limitation, as Akeeba Backup needs to make quite a few SQL queries to your database in order to backup your website.
Regarding our hosting, we are hosted on a normal Rochen account. We don't have a dedicated server, because we frankly do not need one. Rochen undersells their servers. This means that if a server can theoretically host 1000 sites without a as much as a hickup, Rochen will only host 100-200 sites on it, so that if a sudden traffic surge happens the server won't have any issue at all. One day I saw our traffic sky-rocket to ten times the average and there was absolutely no lag. Rochen is, simply put, one of the best hosts out there. Very fast, very helpful and their prices are dirt-cheap for the service quality they offer.
Nicholas K. Dionysopoulos
Lead Developer and Director
🇬🇷Greek: native 🇬🇧English: excellent 🇫🇷French: basic • 🕐 My time zone is Europe / Athens
Please keep in mind my timezone and cultural differences when reading my replies. Thank you!