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I think the meaning you want to express is best conveyed by:
I am only looking for A's, B's, orand C's
Neither "I am only looking for A, B, and C" nor "I am only looking for A, B, or C" convey the possibility of multiple occurances.
"I am only looking for A, B, and C"
"I am only looking for A, B, or C"
I am only looking for A's, B's, or C's
I am only looking for A's, B's, and C's