I had the same situation a few years ago. Why would you pay to stay in a hotel that costs $350 a night that is 5 miles from where you live?
At the check-in I stated I was going to have a business client coming for a meeting. I asked how she could contact me in my room--ie--house phone. I made some comment about the client not being comfortable meeting at the law firm so I had set up a off-site interview. I basically hinted it was a discreet event and I think it worked well. I dressed up in "office dress" to give the correct impression and even had my computer bag. I made a comment how I could enjoy the hotel after the meeting and that explained me in the work out room, etc during the evening.