You can carry exactly 2x your "carry weight" before you are encumbered. That should be reduced. so it limits the myriad complaints about barrelmancy
It's not rare for people to be really good at identifying a problem but terrible at suggesting a solution.
This is one of these cases.
The easiest "fix" against the problem of "barrelmancy" is that it should be pretty fucking unlikely to have the strength to move FULL barrels around if you don't have an ogre's strength. They shoudl weight hundreds of kilograms, after all, and it just makes sense to have them as an unmovable part of the scenario (which is incidentally both more realistic and an implicit solution to exploits based on their accumulation).
A terrible solution, on the other hand, would be to solve this making inventory management even more painful that it already is.