Years ago I won a tech cotton T shirt at a slideshow. I don’t know what it is, probably a cotton poly blend.
Its not cycling fit but I’ve used it for climbing and hiking through the summer and desert. It’s honestly great. Something like that would work pretty well in the right trim.
I’ve done plenty of MTB rides in a collared Hawaiian shirt as is trendy now. That kinda sucks but it’s fun to look stupid sometimes.