I'll look into it
Realistic Fatigue will do what you want. It has two encumbrance settings that will help you.
1) Alters carrying capacity. You can set this to be X*Strength+Y=Capacity, where X is a value you determine and Y is the base strength in the INI. You can set this to low values if you wish to. This creates a linear capacity behavior. I believe you can change the formula into a power function, or whatever, to get diminishing returns.
2) Alters the effect of weight on fatigue, you can set this so that the more weight you hold the more your fatigue is drained. You can set the slope for the increasing fatigue drain.