Hmm interesting approach, but ya the French R is guttural meaning it is pronounced in the throat. I know that description is as useless as a bucket with a hole in it for carrying water, but keep playing around with your throat and you will learn to do it without the saliva. Once you get it all of a sudden your French sounds tons better.
Personally I am not looking forward to when it comes time for me to perfect the Spanish trilled R.