Regarding having a cane and your brothers attitude. I'm talking here as a sighted person who knows a cane user well.
First your sibling, I get it, schoolkids can be ruthless, bullying and very cliquey. But any loss they have from being associated with "the disable kid who needs an old persons white cane" will eventually be compensated for by having a sibling (you) who has succeeded on their own terms.
Second, you often see posts on this sub from people reluctant or worried about starting to use a cane, then coming back to say what a difference it made.
Your thoughts about a cane helping, that fits in with what I see happen. The first time I saw them produce a cane was when I took them to an airport where they were going to catch an international flight. They said just having a cane saved a lot of explaining when asking for assistance. You couldn't tell they are VI by looking at them. The cane is helping at the moment with social distancing and letting other people know they need to move because this person can't see them or see if it is safe to step into the road.
The cane user I know also has a spare compact
$1. They keep this one for best, for posh dinners, going to the theatre or dances. The daily cane can get beaten up after a time so it helps having one that you know looks smart and can folded up into a small bag.