DimeNOC is a private datacenter, owned by HostDime. Connectivity is provided by Time Warner and Level3. Their network and techs are excellent quality from what I've heard. I don't know much about their shared hosting though.
What is probably most important is to test the latency and download speed from the particular server you are going to be placed on. Also check the ticket response time from the host you are planning on going with to see how long it takes for them to provide support.
Good luck!