Hello! We went to Hawaii with our son when he had just turned two, and again last month at 3.5 years. We are also on Eastern Time.
On our first trip, he napped during the flight on his typical schedule (didn't nap the second time). We also ate on our typical "Eastern" schedule both trips. Well, he pretty much snacked most of the 9-hour flight he first time, because that kept him happy! Anyway, the big change for us was once we landed. By the time we landed and got to our resort (both times) it was nearing dinner time in Hawaii.... Way past bedtime at home. We put him to bed for a nap for an hour or two, and then got him up for dinner. He was NOT happy about being woken up from a deep sleep, but we worked it out. We then kept him awake until about 8 or so, and we all went to sleep!
DS has always been a good sleeper, sleeping 12+ hours at night, and never tried to get out of his crib. At home if he woke up and it was dark and/or he didn't hear us up, he'd just lay contently in bed. When we went to Hawaii the first time he was still in a pack and play. We just made sure the room was as dark as possible (closing the curtains), and he had no issues waking up with us (or later!). I remember waking up a bit early the first couple days (sunrise-ish), but after that we all woke up around 8 or so.
On our trip last month he woke up at 1 A.M. that first night! 7 A.M. our time! We opened his curtains a bit (he had his own room) and told him he can't get out of bed until the sun comes up. That worked, and for the rest of the trip he waited for the sun before coming to get us. (We even forgot to open his curtains one time, and he was still waiting in bed for the sun to come out when we got up!) This worked for us because he is a low-key kid. If he was one to get out of bed the second he gets up we would've been in bad shape!