$200 should get you a nice room downtown. What it won't get you is a nice room, a parking space, and the taxes paid. Downtown hotels charge $50+ per night for parking, and most likely an absurdly high Transit Occupancy Tax that they won't quote in the rate. If you can, take cabs in the city, and only rent a car on the days that you're leaving the city.
Kayak.com is my favorite travel search engine. Combine it with tripadvisor, and you should know plenty about the hotel before you arrive.
The new Intercontinental seems to be under $200 on the random week I chose this summer. The Mark Hopkins is also. I like the St. Francis for it's location and classic building, but it seems to be in the $250-300 range the days I checked.
Matthew