Which resistors to use for KT88 output tubes

For the 10 ohm use Mills, for the 100 ohm 1 watt nothing special needed. These should be coming from the output transformer.
The 2.2k grid resistors are more critical. I like Riken but sources for these are about dried-up. Carbon composite resistors like Amtrans, Ohmite or Takman should work fine. One or two watt.

I was thinkin Mundorf for 10 ohm and Mills for 100 ohm. Isn't Rinken carbon? I'm kinda suspicious about the reliability and stability of carbon resistors. What's a good metal film resistor for 2.2kohm.

Although Mundorf and Mills claim theirs are noninductive, I would like them to provide inductance value. Reason being, inductance in this application could cause oscillations from what I've read. Is this a concern?

I've never tried Mundorf resistors. The only one's I've seen are the large 10 watt types.

On the grid carbon composite types are best because they help in suppressing parasitic oscillations. Even if the grid drifts a little over time it won't hurt anything. The value on the grid is not crucial.
Don't use them on cathode's or plates though. These will determine your tubes operating state. "bias"

Another point on your bias resistors: Find 1% tolerance pieces(but, you probably already know that).