I spent 3 yrs at Lajes from Sep 85 - Sep 88. I think you'll enjoy Turkey MUCH better than Lajes, especially if the family can join you. Shooting will likely be out of the question for your tour, but sacrifices must be made.
If you want to stay overseas, put in for an indefinite DEROS and choose your follow-on VERY carefully. Overseas jobs are getting harder to come by. I've spent enough time outside the US. Other than being stationed in New Jersey again, I don't think there is a base OCONUS that I would go to over a base in the good old U S of A.