I find some shirts like that useful also. Woven natural fabrics are often cooler than knits, even cotton. And I sometimes want a tailored, collared style rather than a “ blouse”.
I have braved zombie- land to return to TJMAXX , and they have a variety of short- sleeved , collared button front shirts. A bit ago I bought a Tommy Hilfiger one— not a brand fan per se, but chose it for being cotton but in a kind of Oxford- cloth weave, actually a bit heavier, and it launders quite well. Plus color was a medium- light blue with white polka dots which fit into a wardrobe capsule.
Then I also have my elbow- sleeve pajama top I am wearing as a shirt.
At TJ, there were a other somewhat similar ones in wrong colors, plus ones in very light cotton that does not pass the wrinkle test, plus a lot of linen that also would wrinkle severely. Also a lot of cap sleeve and “ extended sleeve” that does not work for me— I need a shoulder seam.
I have not tried to look for such shirts online but I expect you could find some- it’s just so hard to evaluate the fabric. Also, if you have a department store that is open for in- store shopping, they would have sections of many different brands , so might get lucky.