You know, a cop really wouldn't know you weren't choking as long as you strained and got red-faced and then eventually spit the 'dog out. They could never prove you were a faker.
I don't know what it really gets you out of though. I mean you were speeding because you had a 'dog go down the wrong pipe? Seems like the opposite of what you would do. Or is it just sympathy? Yeah I was speeding, but then I choked on my 'dog cut me a break man?