Murder by Proxy — Brett Halliday

A beautiful woman vanishes while on vacation in Miami, and it's up to Mike Shayne to find her

When Ellen Harris leaves New York for her 2-week trip to Miami, her husband playfully reminds her to be careful. In a city famous for playboys, loan sharks, and gigolos, a beautiful woman can find trouble -- and Ellen wants all the trouble she can get. Although she adores her husband, she intends to have fun, and that means flirting with every man she sees, from bellhops to bartenders and everyone in between. From all outward appearances, it looks like she plans to have a different man in her room every night she's there, but the very first morning, the maid finds her bed undisturbed.
 
Ellen's husband arrives 5 days later, desperate to find out why his wife hasn't been answering his calls. She hasn't been seen at the hotel since just after checking in, and the only man who can track her down is Miami's toughest detective: Mike Shayne.
 
Murder by Proxy is the 42nd book in the Mike Shayne Mysteries, but you may enjoy reading the series in any order.