Razaan Property Management LLC
Most Realtors do not engage in vacation rentals. However, there are some good sources for private rentals on the internet, one of them being http://www.vrbo.com. Just google for "vacation rentals by owner" and I am sure you will find what you are looking for.
Other than that, we have a bunch of nice hotels in the Grove!
Fell free to contact me, if you have any questions. I live and work in Coconut Grove and I am happy to help!
Coldwell Banker Residential Real Estate
Vivienda Miami Real Estate Group