RGS
264
10 days, 2 or 3 islands
Just a thought.
Since you will be there for 10 days, why not mix things up.
My choice would be Naxos & Mykonos (not so crowded at the end of June. Not like August anyway. Excellent period to visit Mykonos the end of June / beginning of July).
Or Milos & Mykonos. 3 or 4 nights in either Naxos or Milos and 5 or 6 nights in Mykonos.
Cheers!