I agree that cork isn't suitable for humid places.
If you live in a humid area I would guess that it's also hot, or perhaps you mean a damp room. I also assume that 'slab' means concrete. We don't use carpets because the humidity at certain times of the years would turn them into breeding places for bugs and they would probably rot eventually. Here is what we have done:
1. Downstairs, we have covered the concrete base with a mix of coloured granite chips set in very wet cream coloured cement and ground to a smooth finish. Cool to the touch and pleasant to walk on. An alternative would be floor tile but the grout looks dirty after a while.
2. Upstairs, the concrete is covered with thick wood blocks, planed well and lacquered. Nice to step onto in the morning. Laminate, from my past experience, isn't long lasting.