Do you currently participate in any of the programs?

As a new member, you can probably get HH to give you a 4-stay-X-bonus Fast Track. It used to be 4-stay-50K-Gold status. My wife recently was offered 4-stay-25K-Silver status, but if you call them directly you *might* get something better.

Marriott's Stay X Get Y Bonus seems to be variable by status and past stay habits. I got a 10k-for-7-nights offer (I'm Gold). Some other folks got 35k-for-15-night offers.

Sheraton's 5000 AA for 1 night is a no-brainer if you like AA miles.

(All of this assumes that you have a need for non-Priceline hotels.)