Speaking from airport experience with a cane, it didn't help keep folks away from me one little bit. Everybody was oblivious to it unless we were standing in the boarding line.
Is your school small enough that the student body could learn to practise caution for you? "Watch out that Ms Schaargi has plenty of room to maneuver! Carry her briefcase for brownie points!" Sometimes kids can be taught compassion by the strangest things.
My DIL is an elementary teacher, whose district hasn't made up its mind yet. I was listening in on a zoom call while babysitting the baby, and apparently one of the measures that's under consideration is, keep the kids 10 feet apart on the playground. Can you imagine trying that with lower grades??!!