LM3886 ballast resistors - what value and resistor type should I use?

In fact, you are the one exaggerating by recommending non-inductive resistors under the conditions in which you agree with the use of inductors at the output of the amplifiers. The inductance of a wire-wounds resistor is much smaller than the inductance that is usually added to the output of the amplifiers.
 
The coil used at the output of amplifiers are around 2-5µH.
Do you measured the inductance of a ,let's say, 0.1Ω/5W resistor?

I just measured one resistor like this and between 100Hz and 100Khz de inductance decrease from ~80nH to ~30nH. Measurement made with a VNA with 201 points, 10hz receiver bandwidth and 2.8Vpp signal amplitude.

For those who don't realize, the inductance of the resistor is at least 25 times lower in the worst conditions (2µH coil and 80nH resistor inductance).
 
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If you're talking about the ballast resistors that are needed when connecting multiple LM3886 in parallel, I'd go with a non-inductive type. The resistance should be chosen from the amount of standing current between LM3886es that you're willing to tolerate. Depending on your circuit, 0.1-0.33 Ω is about right.

The Zobel resistor (in the RC network from the amp output to ground) should be non-inductive. You want that network to present a load of R at high frequencies. I often use a metal oxide resistor there. A 2-3 W type is fine.

The resistor in the Thiele (L||R) network in series with the output can be an inductive type. I usually use a 2-3 W metal oxide resistor there. The resistor won't have any impact on the sound as the vast majority of the signal current flows through the inductor at audio frequencies.

Tom