VisualSVN is just a wrapper product around Subversion. What you are looking for is a hosted Subversion service.
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However, if you need only local access to the repository, you could as well set up a local server, and do frequent backups. There are very affordable remote backup providers with whom it is possible to automate the process - probably cheaper (and faster) than remotely hosted SVN.
On the other hand, if you do team work, remotely hosted version control is clearly the way to go.