Hmm, I dunno. I have the image of the player just, improvising ropes to just strap stuff on himself, y'know? It's not like there's a luggage bag or anything. If you're overburdened to the point you can't even move, fighting isn't really an option either. How's this for a compromise?
Make sitting a stance that can be toggled like running. While sitting, your movement is negligible and, by extension, dodging, but you don't receive weight penalties and, contrary to cap's suggestion, you get a bonus to blocking because you've become a smaller target.
creating stable chaos
making patterns where there should be none
sewing order into the chaos
you spit in the face of random numbers, of chaos