Run air raids and missile strikes I can see. The Lehman Doctrine has always struck me as political hot air rather then sound military policymaking. The best way to distract the Russians from Europe in the Pacific is honestly to get the Chinese on board. That'll tie down far more Russian forces then any conceivable US amphibious invasion force and as a bonus you wouldn't have to expend even a single American to do it. Too bad for the Chinese though.
One additional thing to consider is Korea. If China remains neutral or reapproaches with the USSR, then that might become a really big and nasty distraction for the US. If, on the other hand, China jumps on the Russians... well, then things get interesting given how North Korea spent the Cold War playing the two off each other.