How do you manage inventory/wealth on low strength characters?

I'm only about 20 hours in and I've noticed that there's so much loot when adventuring that I regularly have to have the lesser valuables behind. I've only played str based characters because it's so painful to leave such beautiful loot behind. How on earth are you supposed to make it work? Is there some way to be able to carry more even if your strength is low?

I feel like a significant part of the game is a weight/value puzzle. It just seems like it would be so brutal with low strength.