Getting a Russian Visa while traveling

I am an English/American currently in Israel, and heading in a week to Georgia/Armenia for two weeks and then want to head to Russia for a week.
As I am only in Israel for another week, would it be possible to apply for the visa in Israel and ask to receive it in Armenia (my last stop before I want to go to Russia)?
Or perhaps there is another better option that I have available?

I can’t speak for Israel but I was in Bangkok once at the Russian consulate and they said 5 days turn around time. I said I needed my passport to fly back to phuket and can’t wait that long and the manager said for 20$ he will do express next day. Probably best to check with the consulate you intend on going, and give it a try in person too.