OTC socks too tight in the calf?

I have some of the same socks, and when I first put them on in the morning, I have the same problem. After wearing them for a few minutes, the socks work themselves lower down on my legs, and then I don't have much of a problem. Unless you want them to remain high on the calf, there shouldn't be a problem.

For me, the big idea behind OTC is that they don't tend to slip down and this is a positive. OP, I have found Gold Toes quite comfortable and good value for the money.

I also have very large calfs. I've found that Viccel socks, lacking any elastic, tend to slide down the leg eventually over the course of the day. They are also very thin--although I understand a thicker version is now available. Robert Talbott socks are generally neither tall enough or wide enough for my legs. After washing, they end up below the calf. However, they are well cushioned.

I have worn some Falke socks (cotton/wool/nylon blend) which stayed up, did not bind my legs and were fairly good. They did not offer the cushioning effect I really like in the luxury wool socks. But they are recommended.

I also routinely wear Pantherella. They stay up very well and do not bind. Although wool, they lack the padding effect from Marcoliani that I really crave.

Why not a fan of wool socks? They will breathe much better than cotton, and tend to be warmer in the winter for sure.

If I could choose any sock it would be a cashmere OTC sock, but I haven't found any yet. Of course, they'd need to be a blend of cashmere and something else to give the sock durability. Otherwise, they'd wear down too fast.

I like the cashmere furo mentions - also merino.
I've had some OTC's, notably several Nagrani's, that are way too tight in the calf and I'm normal in that area.

I recently ordered OTCs from Viccel and am very happy with the fit (although I would classify my calves as average size). Their structure is different from other brands I have worn (mostly pantherella) and stay up nicely one me.

I do enjoy my cotton Nagranis.

If their too tight then perhaps you don't really need them in the first place, try a mid calf and see if that fits better.