UA should think about reintroducing UA1 and UA2 as RTW service (don't flame me!). I know these are different times, but my uncle flew for Pan American back in the day. Near the end of his career he had enough seniority to fly Pan Am 1 one month and Pan Am 2 the next. He got all of his flying hours done in one 10 day trip.
FYI, my uncle flew SFO-HNL on December 7, 1941 (Clipper Ship back then). They landed in Pearl Harbor, refueled and headed back to SFO all within about 30 minutes. He always told me it was a miracle they weren't shot down coming into Pearl.