I think screws might be a mistake. The expansion and contraction of the wood needs the flexibility of the special nails, I think.

Also putting wood over a slab I would want a very comprehensive vapor barrier between the wood flooring and the slab to prevent moisture from coming up from below.

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[SIGPIC] Diesel loving autocrossing grandpa Architect. 08 Dodge 3/4 ton with Cummins & six speed; I have had about 35 benzes. I have a 39 Studebaker Coupe Express pickup in which I have had installed a 617 turbo and a five speed manual.[SIGPIC]

..I also have a 427 Cobra replica with an aluminum chassis.