Doing the calculation based on Hornady Varmint 55gr Vmax (3800fps) given MI winter conditions (1000ft elevation, 25F temp with 100yd zero and 10mph cross wind) I get the following:
100yds: 3326fps, 1" wind drift
200 yds: 2900fps 1.4" drop, 4.1" wind drift
300yds: 2513fps 7" drop, 9.7" wind drift
400yds: 2157fps, 18.1" drop, 18.5" wind drift
500yds: 1832fps, 36.8" drop, 31.2" wind drift
By comparison, using my 243 Win and 95gr Bergers (3200fps)
100yds: 2995fps, 0.6" wind drift
200yds: 2799fps, 2" drop, 2.1" wind drift
300yds: 2608fps, 8.5" drop, 5.3" wind drift
400yds: 2424fps, 20.1" drop, 9.8" wind drift
500yds: 2248fps, 37.6" drop, 16" wind drift
Thus for bullet drop, not much between the 2 cartridges, even though the 22-250 starts out 600fps faster. But for wind it is an altogether different story, the 22-250 has basically double the wind drift of the 243 and a 223 would probably be double again. Wind is the hardest element to correct for and will be the most common reason for missed shots (assuming one uses your rangefinder correctly)
In addition, the 95gr Berger has more than 3x the energy at 500 yards compared to the 55gr Vmax, but both are more than enough to kill a coyote. Shoot the 55gr Vmax from a 223 and you better make a critical hit or the coyote will be running away. Of course it is much harder to make a good hit with a 223 than with a 22-250 or a 243 Win.
I made my choice in the 243 and will be sticking to it. 1:8 twist, 26" barrel and an ackley chamber.