I think that there should be an indicator for when your inventory is full, which would make grinding easier since you won't have to keep checking your inventory.
The indicator would just be a popup saying "Inventory full" or something like that.
That could be nice, just a little thing on the side bar like, "Inventory Full: True/False". This idea is pretty good. I constantly find myself wondering when to sell the blaze rods in my inventory when grinding levels, for instance.