Starwood’s free weekend night every three stays promo, which runs through July 31, just got a little bit better.

CaroL just let me know that they are stacking that with 1000 bonus American Airlines miles for each Sheraton stay. (Even if you’ve already registered for Starwood’s free night offer, you need to register again if you also want the American miles – this link asks for your American Airlines frequent flyer number.)

So if you’re making one-night stays, this offer could be quite valuable, and certainly more valuable than last summer when Starwood partnered with Northwest and Delta.