It would not have occurred to me to use a strut and tie model to solve that particular problem. If you do use it, why should the circular shape pose a problem? If the circular ties are adequately lapped, they are well anchored by the concrete and vertical reinforcement. The tie area is twice the area of the tie bar. The angle the strut makes with the axis of the pile is determined by the tie spacing and diameter.
If your program provides shear and moment diagrams, you already know the lateral resistance of the soil, so I fail to see the problem.
BA