Also, as fate would have it, ADOOM says this:
adoom program failed (error #00000004) wait for disk activity to finish
Might it have something to do with my Sansdisk CF card or the CFtoIDE adapter?
I have exactly the same accelerator card and ADoom works fine for me. The problem almost certainly lies with your IDE settings. I am also using a Sandisk CF card as a hard drive replacement. My "MAX TRANSFERS" parameter is set to 0x1FE00.