Increasing the line length by a factor of four would help. If you are currently running 10-12' of 3/16, you'd be looking at 40-50 feet. Not very practical and what would you do when you don't have a stout on tap? Switch out tanks and lines?
Realistically, you'll have to use both tanks and keep one outside the cooler.
Remember one unassailable statistic, as explained by the late, great George Carlin: "Just think of how stupid the average person is, and then realize half of them are even stupider!"
"I would like to die on Mars, just not on impact." Elon Musk