11:31 AM PT -- According to the arrest report obtained by TMZ ... the woman's been identified as 27-year-old Sharon Martinez. She's been booked on a charge of leaving the scene of an accident with property damage.
Cops say she was the only person in the vehicle, and caused approximately $5,000 in damage to the store she hit.
But, get this -- police also arrested the guy they say was the driver of the car Martinez fled in, and he's facing a charge of accessory after the fact. According to the arrest report ... the guy admitted to being aware Martinez was involved in a traffic crash when he helped her leave.
A woman dressed in a ball gown and heels went off-roading in South Beach, slammed into a store, nearly hit someone ... then casually fled the scene, but cops still nabbed her.
The bizarre hit and run went down shortly after midnight Tuesday, and a witness recorded the aftermath of the crash, where he says a homeless woman on the street was almost run over.