Not sure if anyone says this, or if it makes sense, but i think something can be learned by the idea.  Early on in the parsha when balak's messengers first come to bilaam, he says i can only do what "Hashem Elokai" allows me too.  Then, after all the brochos he gave bnai yisrael balak yells at him one last time, he says I told you, I can only do what "Hashem" allows me to do.  Before he goes, when he thinks everything will work out the way he wants, it is Hashem Elokai, as long as it works out my way He is looking out for me, and He is my G-d.  But afterwards, it must be He is not my G-d.  How could He be, if he let all this happen to me.  Thats not what "I" had planned. 
I think this attitude is something i need to work on, and it affects my emuna and my outlook all the time.  I can't just have emuna and be close to Hashem when things go according to my messed up plans and ideas, that is bilaam. But it is Hashem Elokai before, and after, and both are for the best, because he knows better.

great idea! thanks for sharing