I have supported a site that was hosted on brinkster.com. Once you get DNN uploaded you have to contact tech support and ask them to give you read write permission to your directory. The site used version 2.1 of DNN. I also had to manually add my portal alias in the database. It requires some effort but you can get it to work.
But the site that I am supporting has moved to http://www.crystaltech.com/ now. It was much easier to set up. They also have ASP.NET 2.0 hosting packages. I would recommend crystaltech over brinkster.