Conditional Rank Based On Whether A Criteria Cell Includes A Specific Text String

I'm racking my brains as to how I can structure a formula to conditionally rank a value in an array against only those values in the array whose corresponding criteria cell includes a specific letter.

So for example I have a list of 12 values, say 126; 239; 0; 171; 162; 157; 130; 199; 122; 153; 0; 15.
Each of those values corresponds to a heading, say: CDE; DFE; FGE; DFE; ERD; DEA; BDF; DFB; CDE; CEF; CAB; FAB. As you will note some of the headings may or may not be the same and may or may not include the same letters in different orders.

How can I write a formula that ranks in ascending order a given value drawn from the above list (which will be in another cell but which in this case is, let's say, the first value: 126) only against those values whose heading includes a specific character, for example the character C (the character in question will vary and be defined in a specific cell).

As an added complication I need the ranking calculation to exclude any zero values. So in the above example what the formula needs to do is rank the value 126 against a sub-set of the whole array comprising only the values 126; 122; 153; 0.

The answer I need is 2 because, discounting the zero value, 126 is the second highest value.