score:8
Short answer is no, that's not possible. Flying back won't buy you anything either, you will be forced to remain outside the Schengen for some time if you want to visit again under short-stay rules.
You're already skirting if not outright violating the rules as it is. This is simply not what Schengen visas are for. You can probably get away with doing it for three months but the simple fact is that Schengen countries do not welcome this and avoiding the inconvenience of a visa run is the least of your problems.
There are long-stay visas that would allow you to stay in the Schengen area for more than three months but even those do not really allow you to hop between countries and working visas are typically designed to serve the needs of local companies, not accommodate remote workers.