Would under $200 be reasonable or should we go higher?
For lunch?
Under $200 will get you a lower end hotel. I stayed the night at a place called Hotel Spalenbrunnen for around 175 SF. It's right on the edge of the old town, and about a 10 minute walk to the river. I can't unequivicably recommend this establishment for two reasons 1) The aroma of the Indian restaurant on the first floor strongly permeates the entire hotel. 2) A strip club occupies the basement (they don't mention this crucial detail on the website!). If you want a room on or near the river, I would expect to pay a lot more than 200.
Patricia, it will be easier for you and for people to respond it you respond back on your original post instead of starting a new one.