That is very odd that SHII is working, since DC was made with the same game engine.
I just read a comment on a Good Old Games forum that SHII/DC seems to have more issues with Intel graphics. So it's a good start that you aren't having SHII/DC graphic issues. I hope the sound fix follows soon.
You mentioned the 64bits, did you install DC straight to the hard drive... C:\Destroyer Command ?
-Tim
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