In ordinary everyday contexts, the sentence is awkward and unnatural-sounding whichever you choose. It sounds like something from the pages of a very old book. It also should be "in a rage", by the way.
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teechrThis doesn't make sense.Perhaps you mean:He eyes me with rage.orHe looks at me with rage in his eyes.I believe that "who am/is in (a) rage" is intended as a relative clause modifying "me". The question of whether it should be "am" to match the referent of "who" is a perennial favourite, but rather an artificial one since we almost never use the pattern
GPYwe almost never use the pattern in real life.That's exactly my point!