I'm definitely the wrong person to ask. The 2 trips that I've made involving many times zones, 4 flights in a row, being up for... well, I've never been able to figure out because I get too confused... but somewhere in the 1 1/2 day range. I can NOT sleep in a moving vehicle, and jump right into the time zone reality and top that off by staying up really late...Soooo bad, I know, but both times it kicked me into most excellent hypomanias...that there's no way I'd be convinced to be sensible.
(I didn't even know what they were at the time, but everyone commented with incredulity at my 'superhuman' energy levels, lol...)

BUT. If it was a regular feature and lots of back and forth back to back in both time zone directions, I'm sure it would be a whole other ballgame. You have really good ideas, and the only one I can think of atm to add would be to eat healthily and get lots of water. It's way too easy for those things to go by the wayside when travelling.