I recently discovered a portable version of R and RStudio @
http://rportable.sourceforge.net/
Open source rocks!
At any-rate, I am jumping from
On Windows, RStudio uses the system registry to find where installed versions of R are located. You'll need to edit the registry yourself to let it know about new versions. Fortunately you can do this in HKEY_CURRENT_USER so admin rights shouldn't be required. Here are the keys and values you'll want to write:
http://cran.r-project.org/bin/windows/base/rw-FAQ.html#Does-R-use-the-Registry_003f
More detail about how RStudio selects the R version to run here:
https://support.rstudio.com/hc/en-us/articles/200486138-Using-Different-Versions-of-R