I worked for a pack that always had a dedicated road team, flashing orange lights, road signs, high Viz etc. Always in radio contact and prior discussion with police.
With anything, from hunting with hounds to lurcher work....if you play the game the police will leave you alone.
My mate went on a big estate with his coursing greyhounds last season, on a vermin day, police knew all about it, paperwork all in order. No issues at all. I've done the same with terriers, have paperwork and notify police which area we would be working in.
Play the game and the law can get on with othe