Ah, the Dodds are amps, driving the line arrays.
Equipment matching is the key to good performance in a sound system. It seems like you may be having grounding issues causing noise. Also, the higher impedances in tube equipment, relative to solid state, may be coming into play here. High impedance devices tend to be more susceptable to noise pickup.
First, with the power off check your interconnects to ensure that they are plugged in properly. If they are, try different interconnects. Power up. If there is no improvement, power the equipment down then unplug all of the inputs from the preamp and leave the preamp hooked up to the power amp and the power amp hooked to the speakers. If the noise improves the CD player and/or another source is contributing to the noise problem. If the noise doesn't change then, plug all of your electronics into a power strip so that they are all on the same ground. Then use one of those little three-light AC circuit testers to ensure that the house wiring is correct, at the wall socket. Power up and then, if the noise is the same, try touching a known good ground to the chassis of the preamp, then to the power amp and see if the noise changes. Be careful here, because if there is a wiring problem or other fault in the pre or power amp, high voltage AC may be present, and a spark will result.
If the noise does not change, power down and reconnect the CD player and power up. Try increasing the preamp gains and volume control to see if the noise lessens. If the power amps have input attenuators, try adjusting them, and readjusting the preamp controls and see if there is any improvement.
If none of this helps there may be an issue within the pre or power amp, or a compatibility issue between the different brands of equipment.
As for the sound changing when using different impedance taps, the speakers you are using have a widely varying impedance curve. from 8 ohms or so minimum, to around 30 ohms or so maximum. This may cause a variation in the frequency response of the loudspeaker. Some tube amps are bad about that.
Hope this helps, let us know how the experiments work out.