Another vote for Club Quarters here. I liked the refillable water bottles and the closet full of extra blankets, pillows, etc. Plus, the bed was comfortable, and I didn't hear any city noise. (Not that it bothers me, but I know it bothers other people.)
You really can't go wrong with the Palmer House, and the common areas are downright gorgeous, but it tends to be a bit more expensive than Club Quarters. I'd book that if you want a bit of a treat.
On the other hand, those Hilton properties can be gotten at a steal around certain times of the year. I've seen the Palmer House go for about $70/night during slow weekends.