There are any number of rounds that will do what you need. Some do it with speed, some do it with high BC bullets, some with both. A list of rounds that will do what you need would include the below and many many more:
7mm Rem Mag
300 Win Mag
Now many of these are far more power then is needed for yotes at any range but again, we are only looking to put a bullet on a certain mark. It comes down to personal preference. Generally, as bore diameter increases, barrel life will increase which may be a consideration for you, maybe not. A new barrel and fitting will range from $400 to $800 depending on what barrel you use. This may not be a huge deal in this situation but it is $400-$800 and today that is always some type of consideration.
I generally would say do not look only toward velocity, it is not the end all.
Again, personally, something like the 6.5mm WSM or something like my 6.5 AX which is based on the 300 Dakota would also be a good choice if you did not mind fireforming cases.
A 142 gr SMK or 140 gr VLD at 3300 fps would be very hard to beat.
The smaller calibers will certainly work but in my experience, yotes are tough critters for their weight. They are actually very small compared to what they appear to be with their fir on them. If you hit a yote on the outer 1/4 of its profile, you will likely lose that dog. Basically, you have to put the bullet in the middle 50% of the dogs mass or you will likely hit only hair.
As such, I would go back to a higher BC bullet at good velocity. If a 7mm suits you, that would be most impressive but a smaller 6.5mm would likely do almost as well and likely offer a bit more velocity for flatter shooting out to 1/4 mile or a bit farther.
I would also strongly agree with Dave on his recommendation that you use a ballistic reticle for this type of hunting. Yotes move alot, there simply is not enough time in most cases to range a dog, dial up for the shot and take the shot. If you have a ballistic reticle set up, you simply range and shoot. Or if you work with a partner, they range, you shoot, very fast for this type of hunting.