It sounds like you're looking for a managed services provider. Many hosting companies will do this or partner with companies that do. You can start there. I be

It sounds like you're looking for a managed services provider. Many hosting companies will do this or partner with companies that do. You can start there. I believe that this is one of the few things that Rackspace still does. Of course you could try to find a system administrator or two who would be happy to do some part-time work in exchange for a retainer.