This is exactly what I do for live public concert recording:
Main recording chain ends in a DBX limiter, output impedance R_out 22Ω. This feeds a buss. A bunch of outputs are fed through 470Ω resistors R2-R5: monitor amp, DAT, CDRs, cassette. Their input impedances range from 100K to 22K. I also feed a very long line to a remote point, through a 150Ω resistor R6 and a 1:1 transformer (not shown).
Assume the limiter is outputing 1.000 volts. Makes the math easier. Call that zero dB.
The monitor amp gets 0.983V or -0.16dB. The lowest-Z main recorder gets 0.967V or -0.29dB.
Actually I did line-up on the DAT. If I did it with 0.1dB precision, the DBX would be outputting +0.2dB, which it can do (I'm really asking it to make +6.2dBV to get +6.0dBV at the DAT).
Then the CDR gets -0.09dB. I call this sufficient accuracy.
The monitor amp gets +0.04dB up from the DAT, but the monitor amp knob is freely adjustable (no Dolby Certification in my shop!).
The remote location take what they get. They get two outputs with 2K resistors in series. If they short one of their two outputs, the other gets a half-dB less than my DAT (and another part-dB of transformer loss). If they don't short or low-Z their jacks, they get my DAT's level +/-0.2dB.
If any of my recorder inputs goes dead-short (it has happened, usually a panic plugs an output onto the output), the other recorders get 0.4dB less level. I know from years of working with step-attenuators that you do not hear a 0.4dB change in the middle of music.
A rule of thumb is that, on a bad day, a third of your outputs may get shorted. I really have a dozen outputs but not that many recorders: 3 shorts would give a 1.2dB loss of level which is not going to ruin the recording, even if all three shorted at once in the middle of the concert.
Things are a little more risky on the remote feed. The 2K in the far end protects the line from the expected idiots, but if the wire to the remote gets shorted then my recorders get -1.2dB of calibrated level. Even this would almost never be audible; though I would like to add a $2 buffer and get that risk out of the system. Not so much for level-drop, but because if they back-feed a signal into their jacks, it lands on my buss at -39dB, which would be audible after the fact though maybe not noticed in recording (I like to nap until the applause).
So I say just split your outputs with series resistors. It works and adds zero distortion. The part-dB loss can be adjusted out, and is negligible for monitoring with a volume knob in hand.
Since your loads are 20K and higher, the maximum series resistance for 1dB drop is 2K. Since your source is rated to drive 600 ohms, and more than one short in a 2-load system puts you out of business, that's your minimum series resistance.
Since your system is balanced, you want two resistors per load. Max 2*1K, min 2*300 ohms. Take 330 ohms as a standard value. Each load will see 682 ohms which is so close to the traditional 600 ohms that they can't complain. You'll need eight resistors total.
Though myself, I'd just Y them together. It appears this is just monitoring. If things go wrong, you can finish the take and capture the moment without hearing it. And there are just two loads to go wrong, not like my pile of assorted recorders plus mystery guest loads.