Depends on quite a few things.
Are you just killing them or taking hides?
Range you plan to shoot?
How much wind will typically have to deal with.
I've shot truckloads of coyotes over the last thirty years with .220 Swift, .204 Ruger, .264wm, 260Rem, and even the 7RM and 7mm STW.
Out to about 400yds in relatively calm conditions the .204 is outstanding and with the right bullet and shot placement produces excellent hides.
The Swift is it's equal to about 600yds.
If it's going to be very windy I just take take one of the .260's because of much higher BC bullets that are superior when fighting the wind.
One that doesn't get the love anymore it should is the .22 Hornet wich is an outstanding varminter out to about 400yds.