You are in the best position to tell. This is one of those situations where size does matter. Measure the length of the steer tube of the frame, don't forget to include the adjustable cone, washers & jamb nut as well. This will tell you how long of a steerer you will need on your replacement fork. You could possibly use a longer fork and trim it, provided the threads are deep enough to allow you to properly adjust the head set.

That brings up another can of worms... head set size. Schwinns were weired animals they used some funky head set pieces. you might have to mix & match pieces to make things work. This is one of thise situations where a wide and deep "Small Bits Box" is most beneficial.

Good luck with it.