Is it a goal, when considering temperature stability, to flush as little as possible?
What is unintentionally missing from your information (and lots of others similar) is how you use the machine. For example, if you only make straight espresso at, say, 15-20 minute intervals, answers would be a lot different than if you hosted a latte art contest every night. As I said in one of my first responses, adjusting the PID temperature to the lowest level that will also provide adequate steaming (if you do any steaming) will assist in reducing the amount of water flushed through the group. It also helps to keep the portafilter in the group.
Adjust the PID downward such that the MAXIMUM long term reading on the boiler pressure gage is 1.10 bar. Give the machine about 20-30 minutes to adjust herself and see what a big difference you have in your flushing temps.