Hopefully that isn't what it needs then. Perhaps you have a friend or relative?
Coolant is going somewhere. If it goes from full to, not full, then I doubt it's because there is air in the system. Eventually the air would either find it's way out or stay put. A closed system can't keep taking on new coolant, forever. Perhaps test the cooling system for exhaust gasses to make sure there's no head gasket issue. The test kit is fairly cheap at a parts store.
That indicates that the thermostat is fine. It opens when it should and the cooling system keeps up fine, under low load.
This is the typical asymptotic sinusoidal waveform of a mechanical thermostat chasing a set temp value. It's another indication that the thermostat is working fine. That's exactly what mine does.
That's about when the electric fan kicks on and adds alot of capacity to the cooling system.
These cooling systems are pretty simple and you've already picked the low hanging fruit. There are only a few things left that haven't been definitively verified. Fans or sediment clogged passages.
So thus far, you cooling system works fine when under low load. Under load, it can't quite keep up and heat builds up. But when the electric helper fan kicks on, the extra air flow keeps brings the temps back down to the fans turn-on threshold.
How confident are you that your clutch fan is good? If it were me, I'd be flushing the system with some CLR or RMI25.
I seem to remember
@Burla posting a thread about RMI25 coolant system cleaner awhile back. He just leaves it in for awhile, then does a drain and refill later? Perhaps he could chime in, as this might be an option for you.