I guess the best way to manage this is to just have cut offs:

Tiny and small objects are weightless

• So you can carry 9,000 marbles or arrows without worrying
• torches, lanterns, potions, scrolls, provisions, etc etc etc

Medium and higher objects weigh 1

• Bedroll
• Longsword
• Crossbow
• Mace

Large objects weigh 4

• Two handed bardiche axe
• Upper plate mail torso
• Lower body plate mail including sabatons
• Round shield

Huge objects weigh 8

• Tower shield
• Folding ballista
• Black cauldron
• Siege Bow
• Hand Cart

And then you give your character like a limit of, I dunno, 24.

You can carry three suits of plate mail and one tower shield before you've got a problem, ex.