Hi John,
There is a great discussion about adding git synchronization to Orgzly, in progress here: https://github.com/orgzly/orgzly-android/issues/24
I am enjoying the Orgzly UI on my phone, and I have similar org-mode usage to you, in that l also already use a git repo to synchronize changes that l make on two separate laptops. So when that Orgzly enhancement lands, I think it will be Ideal for me.
Best wishes,
Neil