what is your concern about adding another helper column? It can always be hidden, and a helper will make both finding the name AND the rank simple.
a simple =SUM(C2:F2) in column G
then in J2 =LARGE(G2:G11,1)
and in I2 =INDEX($B$2:$G$11,MATCH(J2,$G$2:$G$11,0),1)
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