Perhaps something by way of runes or another idea would counter the dropping of the heaviest items first upon becoming over your inventory weight. Without some sort of counter-measure, what's to stop someone from handing you junk until you drop something of value? What's to stop Thieves from Secreting stones until you're overweight? Probably nothing. Just a thought.
Written by my hand on the 14th of Hindyear, in the year 1305.