Did you ever build this? It's a good project and it works well.
View attachment 520366
Slightly counterintuitively, the best value is of Rsense is determined by the ability of the soundcard's output drive capability. It's the sense-current sourced to the speaker and the L-R soundcard inputs.
If using the raw output of your soundcard, you need a resistor in the ~1 kOhm region. That means very low measurement current even at the upper limit of the soundcard's output voltage capability.
I use either a headphone amp or a power amp hooked up t the soundcard output. With a headphone amp I use 30 Ohm Rsense since I have a headphone amp that can handle a load of 30 Ohs plus the driver's resistance. For the power amp, I use somewhere around 8 Ohms.
Here is a comparison of a driver measured with an amplifier and a 10 Ohm resistor, and a 2 kOhm resistor, and DATS:
View attachment 520376
The data captured with REW is unfiltered. The 2 kOhm Rsense resistor has more noise than the 10 Ohm, but you need to zoom in to see it. But both are more detailed than the over-smoothed DATS.
Here is the same data but 1/12 octave smoothing:
View attachment 520377
A headphone amp gives great results, really not any worse. You can do 4M sample sweeps and averages, plus several noise filters, which give results even better than the above. I can see changes in the impedance of a woofer in a cabinet more easily than I can measure changes in the radiated sound. I can even see the effect of the heater fan in the measurements. Most drivers, DATS is closer matched.
The fixture is simple. Two halves of a TRS cable. Right output and left input wired together, shield wires also wired together. Rsense driving the woofer and the right input in parallel.
Here is an example, with the 2kOhm resistor.
View attachment 520379
The main limitation is the amp's output voltage overloading the inputs.
I use a divider on the inputs to keep the voltage below the input's overload. This also allows measurement of a driver's large signal parameters too, which do change from the normal small-signal T/S parameters. Although not as much as many people suggest.

For large signal, you need a 10 or 20dB reduction on the soundcard input. And very tolerant household members, and even neighbors!