To the OP, what were you going to do with the fox if you caught it?
And what makes you think it was a fox that tore up the coop and not this coon?
FWIW, my philosophy on dealing with varmints is to house the birds in a bomb proof coop that nothing gets in, and in doing so, that enables you to sleep easy and "live and let live", unless somehow, someway a varmint is successful, and manages a kill. After that, you can assume they will be a persistent offender and be back to give you untold grief. Best solution then......all things considered......is to administer the double tap and then shore up defenses so the one who replaces the recently demised isn't as successful as his predecessor.