Best shoes to keep out woodchips etc?

I love my New Balances, but need to retire them to indoor shoes because every time I walk outside, something falls in and pokes my foot-so annoying!

For context, I work as a teacher and walk on woodchips during recess. Yes, my shoes are tied up tight and are the correct size.

Also, I need a shoe with good arch support because I have a high arch.

Best shoes to keep out woodchips etc?
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