Did you try display states?
After adding a view of your assembly to the drawing, you can right click the part you want to hide, select Show/Hide from the context menu and select Hide Component.
you can also expand the view in left side tree, then expand the assembly and scroll down to the part you want to hide, right click the part and select Show/Hide , the click Hide component.
Hope it helps
I'd use configurations myself. Suppress the parts you don't want seen and activate that configuration in the drawing view(s).
I would use display states instead of configurations for a couple different reasons. Firstly, I believe adding display states doesn't increase the file size as much as adding configurations. Secondly, If you make a new configuration and suppress a bunch of parts chances are that a lot of the remaining parts will become unconstrained (especially if you suppressed the initial fixed part) and the parts might get accidentally moved around. With display states you would just be hiding the parts you don't want but their mates and relations remain intact.