When we sailed with Captain Anthony we made sure we arrived a half hour early. On the right hand side of the road (opposite from the beach side) there were plenty of people parked on the dirt. There were not a lot of spaces still available but enough.
If worst comes to worst and they wanted to arrive early, on the north side of De Palm pier, there was a Dunkin Donuts. We didn't partake this time so don't know if it is still there. If not, I am willing to bet you can still get a cup of coffee or something. Another way to kill some time is to walk around the Radisson's property.
The kids will meet Captain Anthony on the opposte south side of the pier.
IMPORTANT: He only accepts CASH. Bring it will you or you will be visiting the MAC machine inside the casino at the Radisson.