Thank you. I now know a little more about sulfur-chemistry, and some of the options.
That kind of process will likely work in a lab environment, but be relatively messy in a manufacturing environment, dealing as it does with very reactive materials and having waste-disposal issues.
Since methanol is much more volatile than tert-amyl alcohol, and the methyl-sulfur bond is weaker than the oxygen-sulfur bond, I contemplate boiling with an excess of tert-amyl alcohol and distilling off the methyl alcohol. I am under the impression that an acid catalyst would be needed, perhaps an acidic ion-exchange resin so it could be easily separated from the product afterwards, and the excess remaining tert-amyl alcohol removed from the much less volatile product by distillation. Does that sound like it would work?