I lived on Oahu for nine months, six hours behind eastern standard. It did help my insomnia. It's six hours difference and five hours. They don't do day light saving time. The sun rises early and sets early there, even in the summer.
Badger sleep balm? What do you do with it? Does it work? I never heard of it.
It relaxes you. It has lavender and bergomot in it. I love it and just about panicked when my grandson rubbed the rest of mine all over him one night. http://www.badgerbalm.com/sleep.html You can buy it here. I buy mine at Cracker Barrel.
I also recommend the other things I mentioned, all of which can ordered on line.