How about just making up some project "bags" out of your scraps? Because you're the only one who will see them, you could get rid of a lot of uglies that way. If you want to put a drawstring or something on them, go for it. For me (I'm lazy), I'd simply make it a bit long and fold it over and safety pin the top down.
As to dryer sheets, bars of soap, etc., you could place those between the project bags so they never come into direct contact with the project fabric itself, but still have the advantage of the fragrance.
There's nothing quite so convenient as a zip lock, however, so when I do use them, I fold it up from the bottom two or three times and put that into my three-hole binder punch. When you open the bag back up, it now has lots of ventilation holes, but still keeps everything together and visible.
Hope some of this helps.