My Sidi shoes are oversized enough that I wear thick wool socks all year (and they are fine in 90F weather.) In cooler weather, thick wool socks and thin sock liners.

I need shoe covers anyway. The Sidi shoes have effective vents. I like the wind resistant fabric covers, I've never tried neoprene, but I expect the fabric ones breath better. It's not that easy to find non-neoprene ones these days.

Even though they aren't waterproof, they are pretty effective in keeping my feet dry. I got a lot more water running down past the top of the covers, but even though the covers were soggy, they kept water from getting through to my socks. Perhaps tights "over" the covers instead of tucked in would help.

(I rarely ride much below 40F, so the thin fabric covers with some fuzzy insulation work for me. Very warm at 40F, and not too hot if the day reaches upper 50s.)