What’s the best and cheapest way to travel from the airport?
Cheapest is likely the hotel shuttles
Ours was organized by the tour operator and was around 200euros round trip for 4 and it is a 90mn ride. This can give you a ref for comparison with other options
We also hired a car as there is so much to see and do around this area and further. Would recommend a trip to the old town of Rhodes which is stunning and Lindos. You can keep the car parked at the hotel car park. So many places to eat out. Some outside restaurants are much nicer than the ones at the hotel. Especially in old Rhodes town and lindos. Old Rhodes town is about an hour away from the Lind Ian village.
Hope this helps
Get an answer from Lindian Village staff and past guests.