Mojo, if you want to stick with the stock switch I'm told that that this is an exact replacement.
https://www.digikey.com/product-detail/en/c-k-components/A11203RNZQ/CKN10201-ND/2043157
I would source new resistors rather than try to de-solder and re-use the old ones. You could upgrade to KOA Speer, Vishay/Dale RN55 or RN60 (which are my favorites) among others.
PS: I'm not trying to talk you into anything. I'm just offering you another option.
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That is NOT a suitable switch. That one is "non-shorting," meaning that the wiper loses contact with one position before connecting to the next position. This causes clicks and pops with every movement. You need a "shorting" switch.
From the data sheet, that would be model A11203RSZQ. It is NOT available on the DigiKey site.
Switches are getting harder to find, distributors are carrying fewer items, and what there is is costing more. And it often seems to be of lower quality. I suppose there is less demand. I looked around when this thread first appeared, and found only one available-from-stock switch in a couple hours of searching - and they were $180 each, not the $3.95 we paid for the stock switch 20 years ago. It's very frustrating.
I agree with PB's suggestion, to go back to a potentiometer. PEC makes good carbon pots (you want audio taper, also called log taper). They have a carbon puck instead of the usual metal wiper, so operation is smoother, quieter, and probably more long-lasting. There are other quality pots around that cost more and may or may not sound better to you.
The other alternative is to find some ready-made switched attenuators - not cheap. Discrete resistors - I agree that the Vishay/Dale RN series are excellent - are preferred.