I'm not sure I understand your description perfectly but, if I do, the problem you'll encounter with using the tape-out connection to drive the subwoofer is that it is not in line with the volume control. You'll want the same, variable output going to both speakers and sub.
I haven't used these , adapters myself, but they would let you go directly from your pre-outs and avoid any extra cabling completely.
I haven't used these , adapters myself, but they would let you go directly from your pre-outs and avoid any extra cabling completely.