Just found at least one solution. Do this:
In iTunes, go to the iTunes Store (in 11.4, it's in the left sidebar). On the near-top of the iTunes-Store window, on the left side, click on your account sign-in button (probably your e-mail address or Apple ID is showing). Scroll down to select "Sign Out." Once you've signed out, it forces iTunes to use your hard-drive's iTunes Music folder instead of the Cloud, because you're no longer signed into the Cloud. This isn't a perfect solution, but I think (think!) your Cloud purchases will probably be downloaded already to your hard-drive's iTunes Music folder, so as you use iTunes while signed out, you'll still have all your music.
By the way, if you don't know what I mean by your "iTunes Music" folder, it's where all the songs on your computer (it's hard drive) are stored. To get to it, it's: HD/Users/[your home folder--the one with the house]/Music/iTunes/iTunes Music. If you navigate to here, you'll see that all your music is still there, organized by folders with the artists' names as the titles of the folders.