I've seen offerings such as VPSs (Linode, Rackspace Cloud), which are very cheap but you're on your own, and managed hosting (Engine Yard, Rackspace), which are very expensive but they do all the system administration for you, in some cases even writing your deploy scripts.

Is there any kind of middle-ground option where I don't have to pay the huge flat rate for the management, but can still request specific sysadmin tasks to be carried out and pay on an hourly basis?