Update: on a Friday night, I poured 5 gallons of 12.5% chlorine and let the pump run all night. I didn't measure FC on Saturday morning, but based on Pool Math, I'm guessing it was around 29-31. I turned off the pump on Saturday morning before leaving and did not cover the pool.
On Monday afternoon 9 days later, the FC was down to 1.5 and the pool had a greenish tint to it. I turned on the pump and set the SWCG to MAX for about 4 hours, then 80% overnight. By the morning, it was close to its normal color. I then turned on the Polaris to grab all the leaves, and turned down the SWCG to 70% for the rest of the day until 6pm. Around 9pm, I measured the FC at 4.5, and this morning around 7am, it was still at 4.5.
I was ready to go get 10 gallons of chlorine in case I needed to SLAM, but it looks like I don't need to. Overall, I'm pleased with this experiment.