I wonder if this issue might be solved from another angle. I imagine the problem we're running into is that most of us are conditioned in the MMO "hoarding" mentality, which is reinforced in this game by the fact that the random items in this game actually have a not insignificant value. Page 144 in the PHB states that weapons and armor used by monsters are rarely in good enough condition to sell, so maybe giving them no resale value will fix the weight problem. If they're not worth carting around then we likely won't bother. In practice, most pen and paper parties probably only hold onto magical items because those are actually in good condition due to their enchantments and either useful to the party or still worth enough to sell. Rather than encouraging hoarding to line our pockets, perhaps making magic items worth much more and zeroing out everything else might be an approach to balancing the weight issue.
