Turkish Airlines in the past have been very generous with Status Matches from OW carriers.

If I were you I would give them a call explain the situation and say you are planning on taking some Turkish Airlines flights soon as well if you get matched to * Alliance Gold. They are most likely to either give you a challenge or give you a 3 month Star Alliance Gold or maybe longer.

Don't apply online but give them a call I always have more success when I speak to someone in the airline industry then fill out a form on the computer.

Good Luck