Hmm, so I guess I need to ask the obvious question: why don't you just set the 
nochordsymbol to a slash?

%%
\version "2.25.21"
\language "english"






chordNames = \chordmode {
\set noChordSymbol = "/"
\repeat volta 2 {
c4 r r f
\alternative {
{r4 r g:7 r }
{r4 g:7 c2}
}

}
}


melody = \fixed c' {
\repeat volta 2 {
c'2. a4 |
\alternative {
{f4 a g b }
{f d c2 }
}


}

}






\score {
<<
\new ChordNames \chordNames
\new Staff { \melody }


>>
\layout { }
}

%%

I admit I didn't spend time to try to understand your code, maybe the MWE 
doesn't convey something. Can't you just replace N.C. with whatever symbol you 
want? I think it looks right.


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