The Supreme Court generally only hears cases where there is a constitutional issue or two different Federal district courts have exact opposite interpretations of Federal law.
If a new fairness doctrine emerged, and someone (well-funded) decided to push the issue through the FCC, then to a Federal appellate court, the Supreme Court might accept an appeal (grant certiorari) from a decision that either upheld or struck down a new fairness doctrine law.
But there are several barriers before it would get that far. Assuming the Congress revived a fairness policy as part of the Communications Act (instead of just a Commission policy, as it was in the past); a contrary Commission might either ignore, or fudge enforcement of the law--warning stations that didn't comply but not assessing any penalty. Thus leaving nothing to appeal. Or, the other side of the coin, a tough FCC goes after stations, but the district court of appeals (used to be just the DC district, but appeals from FCC acts have been popping up in other districts) kicks back any appeal and tells the FCC to take a second look at the issues.
This could go on for years.