Crescent Beach Care is an urgent care center in St. Augustine and is open today from 8:00AM to 5:00PM.They are located at 6573 A1A S and open 5 days per week.. Patients have given an average rating of 4.3 stars out of 5 for their experience at Crescent Beach Care.. Nationally, we are seeing urgent care patients wait an average of 15-30 minutes before being seen by a healthcare provider, which ....