S350-28 except ...
I would re-measure. Without giving too much of the magic away, I can see a line in the mold where an extra bump was added to the toe of the shoe. I'm almost positive that this is S350-28.
If the shoe measures even marginally more than 1", then it's likely just worn down over time. The 1" shoe is almost never larger, but the 1-3/32" shoe often shrinks or grinds down. Measure again and let me know what you come up with. If need be, you could sand or file the S350-28 shoe from 1-3/32" down to 1". That's actually probably an easier option than custom-ordering a Series 350 with a 1" shoe.
But before we get ahead of ourselves, double check the depth of the shoe and get back to me.