Amex offers possible overlap
 

In my Amex Offers I have a $5 of $21 or more at LADine "event" this month (there's also something similar in NYC and one or two other cities). I checked the LADine list and there's at least one Rewards Network restaurant on that list quite near me, so I can stack the $5 off with earning RN dining program miles!

If you have one or more cards with Amex, check your Amex offers on them periodically to see if there's an offer that can stack with your RN dining program one way or another. And of course you have to make sure that Amex card is registered with the program, and that the program gives miles for use of an Amex at that restaurant. (Warning: A few restaurants that accept Amex do not give miles for Amex. So always check the RN dining site's listing for that restaurant to make sure they give miles when using an Amex.)