Normally you have to choose between hotel points and miles when staying at a Hyatt. And normally I suggest that the hotel points have more value, except on inexpensive single-night stays where fixed-mileage earning can be more lucrative.
Hyatt has a new promo through May 31 where you can earn 1000 bonus Cathay Pacific AsiaMiles per night on top of the usual 500 miles per stay. Registration is required.
AsiaMiles are a great currency to collect outside of your normal frequent flyer program. Their distance-based partner awards have some real sweetspots, e.g. 60,000 AsiaMiles gets a business class ticket on British Airways from the East Coast of the U.S. to most points in Europe.