Consider garments from here: https://www.foundersport.com/brand/badger/
This is the company where Uncle Pat of EAG got his microfiber swag T-shirts.
I wear smaller sizes for undershirts; short sleeve and long, these have utterly replaced the UA and Dri-Duke shirts I used to wear.
They have all microfiber, and cotton/poly blends, all manner of colors, all manner of fits, etc., and they are sold every day for the prices UA and similar get REDUCED to when on sale.
I think they run a little big. I'm 5'9" and 190#. A medium is just the right amount of snug to me (without being compression-fit) for against-the-skin wear, and while I think that they're also longer in the body than a typical US-sized T, I'm also one of those folks who just tucks my undershirt in my drawers