Finding Drupal hosting PLUS managed backups and update services

I am working on a Drupal website for a non-profit firm. After the project is done, I need to find a host that can provide the following services:

• Hosting
• Daily Backups
• Regular Drupal core and module updates

The Drupal site will be fairly basic with the following modules:

• Core Modules
• View
• Calendar
• Date
• Admin Menu

Now, I know there are all sorts of firms that can provide hosting for Drupal at reasonable prices for a website that will have minimal traffic. My biggest issue is that I don't know what firms will provide the service of making the Drupal updates and making sure backups are maintained. Most of the firms I talk to won't provide update/backup services even for an extra fee.

Yes, I know that the backup procedures for many firms with cPanel is simple. And, yes, Drupal updates can be pretty simple to run. However, this client has ZERO technical know-how and probably won't have anyone to make sure this stuff is done on a regular basis, despite how easy it is.

The host/provider needs to be established, proven, and charge a reasonable fee for this kind of support. Any ideas?