the traffic in miami around the airport can get dicey and there is no way you can plan a quick trip to the lincoln road mall in the time frame you have. the biltmore hotel is within a short taxi ride but beware, none of the taxi drivers are going to be very pleased that you are going just to biltmore hotel.. a short ride for them. you can take the supershuttle there and back but you have to book them well in advance for the return trip.
Miami international Airport has good coffee shops, not the starbucks variety but good strong cuban coffee: branches of versailles and la carreta form the little havana. you can go up the airport hotel and have a good view from the top where there is swimming pool.
But honestly five hours between flights especially if one is an international one, is too short to do anything much in Miami, which has NOTORIOUSLY bad public transport..
Come back another time!


