Gore bike wear race overshoes for me. Tried sealskin socks. Didn't get on with them at all. The Gore overshoes are thin however they are great at keeping the rain out. Dry, cold feet I can handle but get them wet as well it's almost unbearable.
I tried neoprene overshoes years ago and the same as the skins I didn't personally see the benefit of them.
You'll try something and hope it works. Some things like overshoes are you get what you pay for. Just hope you find something that works for you 