We stayed at Le Grimaldi back in June for one night. It is a small hotel, in a pleasant location, with plenty of charm, and we really enjoyed it. We paid 185 euros for a superior double, but got upgraded to a junior suite. I looked at the Radisson SAS, but it's quite far out, and you need to take a taxi or bus to get into the old part of Nice. Our hotel was about a 15 minute walk to the old quarter, and a 5 minute walk to a large shopping and dining district.