I only recently discovered the drill satin linen. I bought 2 mtr of dark navy, very heavy weight - for a couple ofvests. I thought to use it for the backs but it is really too heavy.
I made many linen shirts in the 1990s. In Australia people refer to "hanky weight" for the lightest weight, which is quite fine for men, in summer of course. Cotton linen mix is very usable as posaune says.