Haven't trapped seriously for a couple of years, but if I were would still have a hard time convincing myself to target that one. Have a soft spot for fox and that's a pretty one to keep around and enjoy watching.
Last year was my first year snaring. I was after coyotes specifically. A well seasoned trapper gave me the advice I used. He said after a good snow storm, the next day or two, walk the property one is going to trap and locate spots that the coyotes walked that one can set a snare 12" off the ground, with a 12" loop, Make sure to anchor it high up so its a quick kill. I started snaring in Feb and quit in March. I snared 10 coyotes. I set some lower ones and caught several coons too. This was on 130 acres. Based on cams I have a target rich environment again. My fawn recruitment was quite noticeably higher this year. I attribute that to dead coyotes. I know I still had predation as I caught one on cam carrying a fawn. This will be an annual endeavor as I don't think one can ever eradicate them, nor would I want to.