The man responds to the woman about the price of oil stating, Not _____ what I've heard.

The correct response is based on the idiomatic expression "Not according to what I've heard." This phrase indicates that the information the man has is different from what the woman might be claiming. The use of "according to" suggests that there are various perspectives or sources of information; thus, the man is indicating that the price of oil he refers to does not align with what the woman has stated.

The other options do not fit contextually. "Along with" implies accompaniment or additional information, while "besides" and "in addition to" suggest extra information rather than a disagreement or correction of previously shared information. Therefore, "according to" is the only choice that accurately conveys the intended meaning of contrasting viewpoints based on different sources of information.