The hiss increases when I turn up the treble and vice versa. The hum increases when I turn up the bass and vice versa. The hum and hiss both increase when I increase the volume and vice versa.
I was under the impression that your hum level was affected by the position of the volume control. For this reason, I suspected the regulator board.
With your last measurements, I think your regulator board is good since you have about 3.5V drop in R7, 4V drop in Q2, and the output is 0.6V bellow the zener voltage. Everything is fine here.
For the hiss, it looks normal. The first stage (Q501/ Q502) generate their own noise and let pass the thermal noise generated by the resistors connected to their bases. The resistors are high, the volume control is a 100k resistor, and the bias resistors are 220k and 1M. The higher is the resistance, the higher is the thermal noise in it. Without re-designing this stage, there is nothing to do for this. If you turn the volume control to minimun, the noise level will be at its minimum level because the base of the transistor (Q501 / Q502) will be shunted to ground. At this position, the noise you hear from this stage is generated by the transistor alone. If this noise level is unaceptable to you, you may consider replacing the transistors by lower noise units. This stage degrades the signal to noise ratio of the amp because it generates noise but it doesn't amplify the input signal, it is a voltage follower stage with a voltage gain less but very close to one. Any tansistor you will put there will degrades the signal to noise.
For the hum, it is more complicated. I understand from your last post that your hum level is affected by the position of the Bass control. This implies that it is present in the Tone board, and not only in the power amplifier stage. For this reason, I think the Tone board is the main cause of hum and your main caps (C6, C7, C8 and C9) are probably good.
I recommand that you check all the ground wires (the black ones) inside the receiver, for good connections.
The addition of an external connection between the chassis and the neutral (the round hole in the AC outlet) of the power line may help.
Sometimes, a different routing of the internal wires may help reduce the hum level. From the information I see in the last pages of the service manual for this unit, it is not a "star ground" routing. In the Tone board for instance, there is a ground from one section of the receiver that is connected to the left side of the board, and another ground on the right side of that board is going to a different point inside the receiver. It is usually better to make all the connections to a single ground point, as close as possible to the main power supply ground.