Best hotels in Hot Springs, AR

My wife and I are planning a "babymoon" (she's pregnant) near the end of June. I'm prepared to break the bank a little for this one, so let's say that price is not a concern. Just the two of us in the room. What are the coolest/nicest/most pleasant accomodations in Hot Springs? I'm not interested in any major chains - Hilton, etc. Would love to do something more unique to the area. Any recommendations? Doesn't have to be directly in the city, just within Uber distance.