A key (or two) to hold to drag a frame in a frame...

Is there a key to hold so you drag the frame? If I have three graphics in three different frames, and they are all in an outer frame, is there a key I can press (or combination) that would allow me to quickly grab just the outer frame and not just an inner frame by itself? And if there isn’t, can there be? lol
Too many times do I accidentally grab the contents of a frame or an internal adjustment feature, instead of the frame I am trying to move. Thanks!