Where is the operational advantage of diverting to an airport which is even farther than your ETOPS alternate?
ETOPS is a planning thing, mostly. Once in flight, actual minima applies instead of ETOPS planning minima, so many airports become suitable that are closer than the nominated ETOPS alternates. And you have the non-nominated but still suitable ones. That can change your decision making in the event of a failure and set different ETPs. However, I can't see why you would chose to go to an airport farther away than the alternates, so far that it lies beyond the 180 min line (which is really far).
do you have a particular scenario in mind?