Would you be willing to try enabling Windows mini dumps? A mini dump will tell us a bit more about what's going on at the point where RStudio is crashing. See https://msdn.microsoft.com/en-us/library/windows/desktop/bb787181(v=vs.85).aspx for more information.
If you want to perform the above steps automatically, the steps described above can also be accomplished by downloading and running the enable-minidumps.reg file located here:
https://gist.github.com/kevinushey/1203be4c22545559e2468496aa3af17a
After doing this, you can try restarting the machine, and then attempt to launch RStudio. If the crash is caught, then you should see a mini dump generated in the user's home folder, in a folder called CrashDumps. If you're able to get that generated, you could then try to send it over to us.