Shimano SH-R122 shoes - Cleat help needed

I have an old pair of these shoes which had old style spd cleats mounted to them. The cleats/pedals wore out, so I was hoping to change them over to my Time RXS cleats. However, the “nut plate” in the bottom of the shoe does not match the Time bolt pattern. I am lead to believe that there exists a different plate which has the proper bolt spacing. Does anyone know where I could find said plate?

While I don’t need these shoes to work, I always found them to fit my feet extremely well and would like to be able to keep using them.

Thanks