Note that an 8-24NS would be "special" order. A #8 coarse is 8-32NC & fine is 8-36NF. When placing a tapered shank screw into a tapered hole it does not have to move far from full contact to establish good gripping powers. it would of course be less in dense wood such as Walnut than in a softer wood.
Dennis, is some firm regularly making these coarse thread screws & taps you mention at affordable prices? They are of course outside the realm of ordinarily procurable machine screws.

Miller/TN
I Didn't Say Everything I Said, Yogi Berra