Off Leash Dog Walking Areas within a 10-mins drive of Kolossi

Hi, I am new to this forum. My partner and I are house and pet sitting for a gorgeous family of 5 dogs and 5 cats.  The owners taught us the Kourion beach run, where we let the dogs out of the car, they run around and meet us at a Rendevous point. However, on the first day we took them there without their owners, we were pulled over by the Police, who informed us we would be fined it we did this again.  We risked it a second day, as we are trying to do what the owners asked and expect of us, but a lady got very angry with us about the dogs being off leash and unattended (we are in the car driving 10km/hour). I totally understood her point of view because I and a very anxious/fear aggressive dog I had in the past, have been attacked several times by other peoples so called friendly off leash dogs (in Australia).  The problem is, we have to walk/run 5 dogs every day, I have read about big fines ranging from EU85/dog to up EU17,000 (turtle protected beaches) but we‘ve come from Austria to look after these babies, and do not know where else we can take them so they can run off leash.  ANY HELP AND ADVICE WOULD BE GREATLY APPRECIATED.  We want to do the right thing by the owners, the doggos, the environment, members of the public and their dogs. Thank you