Ive tried to find TOS rules for Amazon and Facebook promotion. Id like to run traffic from Facebook to some Amazon products. Is this against their terms of service?
maybe, but there's a better way
lets say you want to sell 10 kick ass books on marketing, dont market the 10 kick as books
instead give away a leadmagnet (ebook) in which you warm up the reader on how these books are awesome, and offer them reviews and your opinions of each book
then u can link them to your aff link through this free lead magnet and at the same time, grab their emails, so you know they like books/or your topic, so u can send them emails in the future with more cool books and related offers 
Nice idea. I am doing this right now with my SEO properties - works well.
After they opt-in for the lead magnet I will redirect them to the offer page, just in case they are so "warm" that they even don't need an e-mail sequence to gain their trust.
I looked at PPC direct to Amazon products with affilifate link present - Amazon TOS state that they no longer provide commission based on this medium.