Drill baby drill would not affect oil prices for too many years to meet her stated deadline. The most likely avenue is if the Libya mess ends soon and they get back producing in the next year. Unfortunately, after giving O so much grief about Libya, it would be hard to claim that one as a conservative win.
As would removing the blend laws and Ethanol subsidies, licensing some new refineries and dissolving the EPA.
Oil is hedged way into the future: a known change in supply in (say) 5 years affects prices right away.
A Conservative President and House can do this.