Baykar can't produce a turbofan engine ( dry trust over 10.000 lbf ) alone. Cooperation is possible. They pay the money, someone else (Ivchenko etc) make the engine. TF6000 or 10000 (ab) is not enough for real/future Kızılelma. It is sure.
Old variants of Som 's (with French engine) max. range was over 300 km for hi hi lo. It has a gliding range nearly 90 km when dropped 40k feet. French engines have a limit for 17 minutes. It was a big problem. According to rumours with Ktj 3200 new range is about 500 km.
TRG300s are only 585 kg with the warhead of 105 kg. I guess Roketsan will produce a new rocket with a bigger diameter and weight. F16s can carry 2 * 1000 kg rockets. In that way we can easily exceed 500 km for ALBM class.
It's like Iranian new Hayber missiles with 2000 km range. Actually it is not so short. The closing shooting and its relatively thick form makes it look short.