>I'm trying to get the whiteout that is attached to the NoteHead to not
cover the ledger line. Also, it would be ideal if I could extend the width
of the whiteout to the width of the ledger lines.

Does this work? (replace the \with-color value to color #white)

aBox = \markup {
                   \with-dimensions #'(0 . 0) #'(0 . 0)
                   \with-color #red
                   \filled-box #'(-0.3 . 1.6) #'(-1.4 . -0.4) #0
}

\score {
  \new Staff {
    \time 3/4
    << { \voiceOne
         r4 c'''2~
       } \new Voice
       { \voiceTwo
         r4 r8
         \override NoteHead.layer = #2
         f'''8^\aBox d'''4
    } >> \oneVoice
    c'''2.
  }
}


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