Yeah, I flaked on commenting on "2 pairs of socks". Unless they were paper thin, ain't no way I am fitting into my skates with 2 pairs of socks on and even then, not sure I could do it. My skate socks are as thin as I can get them and I'd probably go barefoot if I didn't hate the clammy feel of wet boots on my skin. More evidence your skates are too big.
Are those cotton socks? Do your feet sweat while skating? Might be exacerbating the rubbing issue with socks that are holding moisture against your skin and making it soft. Wool (thin), synthetic, even silk would all be way better options.