EAC_MacUser wrote:
I figured the phonetic part of it, spelling it as "ya" would convert it to that character.
As far as I know, phonetic keyboards for Russian never work that way. я, ю, ж, ш, etc. are always each placed on a single key, and I think anyone who knows the Russian alphabet would expect that.
What you are looking for is really a transliteration keyboard. I have never seen one, but it might be possible to make it using
http://scripts.sil.org/ukelele
With this it is very easy to create a custom layout by drag/drop from the Character Viewer onto templates provided by the app.