Fritzing is crap, it's easy to get started but very quickly it will only hold you back and cause you to spend more time trying to find workarounds. My suggestion is learn to use KiCad, it's quite good, very powerful and completely free. Once you learn the process there, you can figure out any real EDA with relatively little effort.
As far as copper tape on printouts, that seems like a very roundabout way. Wouldn't it be easier to just point to point wire on perfboard? I do that, or deadbug on copper clad, or for more complex circuits that I need in a hurry I use toner transfer to etch a PCB. Otherwise I just send the files off to China to have some boards made, it's so cheap these days that it's really difficult to justify other means unless I'm in a rush.