Hi Glynis
My gut feeling is that it will be too early for them in June. I have been to the area a couple of times but later in the summer. They didn't seem to come out in force until August. So fingers crossed for you
They are a pain, at Lykia we ended up eating in an indoor restaurant rather than an outdoor one towards the end of one holiday.
My son 'batted' one away rather violently with his napkin, as they hadn't left us alone for 15 mins and it more or less landed in someones soup

and the tables weren't on top of each other either. That was the final straw for me.
At the Belcekic Beach the staff used to put a small saucer of raw coffee on your table and set light to it, that used to keep them away for a bit, probably better than spraying with a load of stuff when near food.
Doe