Priceline does the trick quite nicely if you can afford $85-$100 per night plus a few taxes and fees. A 4* city center bid will usually give you the Renaissance, Marriott, or Le Meridien Apollo. Check
www.biddingfortravel.com/ and
www.betterbidding.com/ for more information and data points.
It would also be helpful if you would post the dates for your stay.
Finally, try not to double post in the future. I know that it can be difficult for a new member to find the right forum, but this forum is for great hotel rates that you find, not for questions about specific itineraries. Your request would probably find a better home in the Europe, Budget Travel, or TravelBuzz! forums. A moderator will probably relocate it there.
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