When we went I was on MDI same as you but used Novorapid and Levemir - and since that's injected twice a day, it's a little easier to swap about. Obviously the Novorapid isn't a concern since you simply use it whenever and whatever you happen to eat, immaterial of what time it is where you happen to be at that time.
We didn't have a stopover going out (via KL) and stayed awake apart from catnaps in the air, and having taken off from HR first thing one morning arrived at our final destination (Brissie) at 10.30pm at night the next day their time - having had to change planes in Sydney a few hours earlier. I had my evening Levemir during the leg between Syd and Bris. I simply 'firefought' with extra little bits of Novo occasionally during the extended 'day' we had travelling - since we were largely just sitting on our bums in plane seats, testing and jabbing weren't exactly a prob. And in any case, the Malaysian lady sitting next to me was also on Novo and Lev anyway - we were comparing carb counts for the meals we were served en route, to do our boluses! You couldn't have invented that scenario could you? LOL Where Lev is available - Lantus was well before that (eg Lantus was available in Oz for years, then they added Lev - but Lev didn't become available in NZ for years after that!) And Novorapid appears to be cosmopolitan anyway - all available in Oz anyway cos I had cause to find that out LOL (Just not free even on scrip, since there's co-pay for all drugs unless you specifically register with Medicare and that just wastes your holiday time cos streamlined, they ain't))
What is the timetable for the travelling and arrival? - cos you will be 'winging' it for around 24 hours whatever way you do it - but it's definitely worth it and you won't die!