The Rhodes-based newspaper Rodiaki has reported that the Municipality of Rhodes has started a park-and-ride service using parking space at Akandia with a shuttle bus taking people to Symi Square at the north end of the Old Town. This is the area you reach from the Mandraki area by crossing the stone bridge over the dry moat.
The bus will run between 9am and midnight, every 15 minutes. It occurs to me that it could be useful for people needing to get to Akandia for sailings departing late morning and afternoon/early evening. Unfortunately it doesn’t help those who stagger off the Blue Star at 6.20am, having arrived from Symi. It could help arriving passengers of the Stavros, though.
There is also an electric buggy service within the Old Town, using airport special assistance type vehicles.