A 1.75 tricked out for sure will hold yotes. Victor Wood Stream 1.75s out of the box with center swivels and a short chain passed the eastern coyote BMP. I would venture a guess that all (well most anyhow) 1.75s and the Bridger 1.65s will hold yotes on 24 hr checks. I would suggest 3.5 too 4 lbs pan tension on a short throw, e.g. night latched, to ensure good pad catches.
Fox and coyotes and their mutual relationships have been discussed by many. The general consensus from observational input seems to be; the coyotes move in and the fox are gone. For sure this trend has happened but the reason, in my mind remains unclear. I tend to side with the notion of coyotes importing / spreading diseases rather than killing fox, as a main explanation. I lean this way since there are many areas that have and still hold good populations of fox and coyotes in close proximity. Also. in my country, localized selective pressure on the coyotes, has not resulted in the return of fox in numbers, i.e., this tends to argue against a coyote killing fox depredation as the principle mechanism. We have had a number of bouts with parvo in our wild canines. Since, coyotes travel much greater distances than fox, it is reasonable to predict they will repopulate decimated habitat much faster than fox. Once established, the coyote presence may impact on the fox repopulation. One could also guess that fox are more susceptible to some diseases than are coyotes.
Taken together, the above lists of possibilities closely patterns many stories of populations impacted by diseases to which they previously were unexposed. The coyote being more mobile, may tend to dominate after a disease induced alteration in the population.