We've just returned from a weekend at Iliovasilema and had an amazing time enjoying the most awe inspiring view we could dream of.
The hotel management and personel are very kind. In fact they upgraded our studio booking to a suite and that made a big difference for us.
The view is amazing from all rooms. However you should try and get a suite since most of the balconies are very small. Of course you can always enjoy the view from the public terrace, but it's much more convenient to have immediate access from your room.
If you especially want privacy, you should try and get a suite with a private balcony, like room No 5, where we stayed. More