Hi tylacox,
I just came across your post, and since I have some experience in this area, I thought I should chime in. I realize that its been a little while, so I don't know if it will be relevant any longer.
I would most definitely not recommend the Surface 2
(non-Pro, Windows RT model). Blackboard is especially flaky, and finicky, by my experience. Having tried to access it through the immersive (MUI) browser, I can tell you that there are some issues--scroll bars not working, submit buttons not activating, etc. I would not count on the RT environment for work in Blackboard. In addition, you will likely be required to install and use a variety of plugins that are incompatible with the RT platform--for example, I have a lecture each week as a PDF file created in Presenter. It must be downloaded and opened with desktop Adobe Acrobat. No MUI application would be able to render this file.
If your choices are limited to Surface 2, or Surface Pro 3, I would recommend the Surface Pro 3. I have an original Surface Pro, which I use to access Blackboard, using a desktop browser, and this works well. For around the cost of a new Surface 2, you could probably find a used Surface Pro 1, or perhaps, 2. Used stuff, I know, is sometimes a gamble, though.
Good luck.
I'm sorry if someone has already answered this question but I'm a student and I do most of my classes online using blackboard. I have been thinking about buying the surface 2 but I'm not sure if the windows RT will be able to run all the applications that blackboard needs. Does anyone know if that is the case? And if not would the surface pro 3 work better?