It depends what you mean by "affordable"? One month housing is difficult to come by, which is why it's usually pricey. Most Realtors don't list one-month rentals as there is no money in it. There is a place on Isle of Venice in Fort Lauderdale that many of my customers stay at called Villa Venezia, Their website is http://www.villa-venezia.com
and their phone is +1 (954) 832-0981. Also, a little further north than Fort Lauderdale on the beach in Pompano is Residence Inn Marriott and their number is +1 (954) 590-1000. There is a Realtor that sells properties that turn houses in the northern Fort Lauderdale/Wilton Manors area named John Hech with Lanham and Associates whose email is firstname.lastname@example.org. Just let them know that Tricia Luther with EWM Realtors provided you their info. I hope this helps.