I'm an XL and my favorite jersey is made by SWOBO and is Merino wool.
I sweat a lot like you and the jersey gets soaked, but I know there is evaporation because white "Salt" lines appear.
Even though it is wool, I wash it with everything else, but I let it hang to dry. It comes out nice and fresh.
An advantage is the jersey is long so my gut doesn't hang out... one of the reasons many wear bib style pants.