I can’t say I have found any shoe to help with this condition. Sometimes a toe grip or something like that will help grab the track but it isn’t going to help on thick ice and could make conditions worse. Also to change a shoe to something like a serious toe grab would change the impact the horse is use to. The pressure the leg and joints are taking would change, and frozen ground is not forgiving. For example, if you typically wear tennis shoes and now you need to run in stilettos on concrete—an extreme scenario but you get my point. To be honest when conditions get dangerous due to snow and ice, the competition is usually cancelled. Also, check with the regulations because many shoes are not allowed either because they tear up the surface or because they are considered dangerous.