This whole forum is about online casino promotion I am sure someone has some more insight on this that is already promoting Bovada in the US
Wouldn't that technically answer your question?
Do you live in the US or not? Enforcing US laws outside the US would be quite challenging, and probably a waste of their time and money if you are not some super big company that brings millions of revenue. And even then if you are hosted outside the US, and not on a .com domain, there's not much they can do about it, as you would be lawyered up.
The way these things usually go is IF the affiliate does something that's not permitted, the Regulator fines the Book/Casino, which makes them take action against you by asking you politely or not so much to change your methods. From that point you start to get the idea if someone has a problem with you and the business you do, and can act accordingly.
And even after this there are many things that can be done. When I first came to Switzerland, I was contacted by a body that tried to present itself as a government gambling agency of some sort, but then I found out from my lawyer, they were a daughter company of the monopolist Swisslos.
My point is, a gambling lawyer can really answer everything that you need to know and help you proceed, especially if you live in the US, as you would have local state laws and federal US laws and it gets even more confusing.
P.S: Also "some guy told me on the forums it was okay" is not a valid excuse, so it doesn't really matter what anyone here including myself tells you. Don't bet your future on it.