Storing backup files for personal archival purposes

I am thinking of signing up for your hosting service but I wanted to ask first if I would be able to store files on the server that I am storing primarily for backup purposes. For example, I would like to save some of my mp3 albums, videos, and other content so that I may retrieve them at anytime. These are all legally acceptable files I have the rights to as an owner and would like to archive in an off-site storage for redundancy purposes as part of my fair use rights over content I own. (While this would have seemed like a silly question to me a while ago, I am asking because my current hosting service, Dreamhost, has switched to a policy whereby its users are no longer allowed to use their servers for anything other than pure web hosting. I can only assume that they see profit opportunities to make money by contextually classifying content stored on their servers since they offer additional plans for archival purposes now. As one of their oldest customers - over 10 tens - I have stayed with them through thick and thin but I cannot tolerate such bald greed so I am now shopping for a new service. I am using this feature as a sort of litmus test of the service before diving deeper.)