Let's start with a grasp of your situation on the team. Are you a returning starter with a lock on a position? Or will you be competing for a position? If you're competing for a position the coach can't see the effort you're putting forth if it's not in his program. If you have a lock on a position there's more flexibility. However, your coach may want to see you training with the team and showing leadership. I would talk with the coach before doing anything outside the scope of the team.
My son has better access to facilities away from the team. But he likes the camraderie of working out with the team. When he can't make workouts he makes sure the coach knows in advance even though he's a lock to start again next season. He also works out on his own with a personal trainer at least once a week.