I was in Rhodes just over a month ago, and remember seeing a very nice hotel on the way to visiting my mum, dad & co at Ilyssion Hotel in Pefkos (actually it's based in Lardos if there board is right on the road). However we came to a lovely hotel at the bottom of the main road where the Ilyssion Hotel is (heading to Lardos direction). I'm sure it was Lindos or something at the start of it.
I'd say looking at it, was either a 4 or 5 star hotel.
Hope this makes sense.

FD