Screen comes in all thicknesses and materials. I've used a slightly thicker aluminum screen instead of vinyl screening, with a thicker spline. It takes a lot more effort to work in that thicker spline, but it makes the screen tougher than heck to bust through.
If this doesn't work, you may want to try expanded steel panels. They bolt onto the outside of the window. Not as pretty, but they can be trimmed up with a little moulding and painted.
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