Currently, the Hyatt Hotels website is offering suites, including one and two bedroom suites at standard point rates. You can use a combo of cash and points or just points.
Of course, you have to have Hyatt points to take advantage of this, and sometimes, depending on the property, it's not worth using points.
I'm not a big Hyatt or Hilton fan, as, at least Hilton points, costs for rooms tends to be way too high to earn through credit cards, by converting AMEX Membership Rewards points to Hilton, your throwing your money away. Better to use the points for cash option with AMEX, book a room with your AMEX and pay the cost of it, then use your points in lieu of the cost--that way the cost is WAAAY cheaper in points, you GET Hilton points for your stay (as much as those are worth), and you get AMEX points for the transaction, even though you'll be using your AMEX points to pay for them.
Here's a list of some hotels that have reasonable point rates for suites:
Hyatt Place St. Petersburg Florida: 2500 points +$50. One Bedroom Suite. 700 sq ft.
Hyatt House Washington DC/The Wharf: 4000 points + $55. One Bedroom Suite. 468 sq ft.
Hyatt House Denver Airport: 4000 points + $55. Two Bedroom, Two Bathroom King Suite.
Hyatt House Bridgewater New Jersey: 8000 points. One Bedroom Conference Suite.
Hyatt Place Pittsburgh South/Meadows Racetrack: 4000 points + $55. King One Bedroom Suite w Sofa Bed. 670 sq ft.
Hyatt House Pleasant Hill California: 4000 points + $55. King One Bedroom Suite.
Hyatt Place Lubbock Texas: 4000 points + $55. King Bedroom Suite. 695 sq ft.
Hyatt Place Chicago/Midway Airport: 4000 points + $55. King One Bedroom Suite with Sofa bed. 675 sq ft.
Hyatt Place New York/Yonkers: 6000 points + $75. King One Bedroom Suite with Sofa bed. 388 sq ft.