Historic Hotel Recs Downtown

Howdy from Texas! We're coming for three nights mid-week in February and we really enjoy historic and boutique-y hotels - not cookie cutter and not modern. I'm leaning towards the Meeting Street Inn but I've read a few of the older hotels have been undergoing updates and that they're doing this with modern furnishings. Any recommendations would be greatly appreciated. (Budget is $300 or less per night.) TIA!