I'm saying at any other arena, you wouldn't be able to make circles like that.
Plus, it's a bad habit. I do it on colts in exhibition barrels to help them catch their correct lead and settle them, but that's only at first.
I've NEVER had a hot horse act like that. I have horses that are ready to run, but not horses that act up in the ally. I do ALOT of hauling and exhibitioning on my barrel horses. I walk the alley and lope a circle or two in the arena, before and after their run. I keep it simple, don't over drill.
By doing this I've never had a horse act up. And if they do, it's usually bc they need injections or a chiro adjustment.
Sorry, but if that's the only way you can settle him down, you're asking for bigger problems in the future. The rodeo associations I do won't even let you circle in the arena.