In reply to Gill's request for info, we were shown round the Poseidon appartments last September by a chap called Themis, the top floor appartments/studios seemed the best with good views over the village/harbour etc, contact number is 0030 26740 61222.
Other places to try are as follows:
Myrto Apartments & rooms, names on the card are Makis & Kiki Alisandratos.
Tel:0030 26740 61053, Mob:0030 6944 252010
These are located off the road going up too Paradise Beach, did not go in but front rooms had good views towards Sami etc.
Studios from Vrettos Gavrilis, (thats whats on the card anyway!!!) these are located off the road going from Agia toward Sami, beyond Makis's Bar/appartments and the Churchyard. Very friendly chap showed us round last year, the rooms seemed to be finished to a very high standard
Tel/Fax:0030 26740 22006 or Mob:0030 69778 63888
I hope this helps and you find somewhere to stay, we will be back in 3 weeks time so can't wait.
All the best,