The whole issue of using heavy target bullets on yotes is not a good one especailly beyond 300 yards. At the extended ranges, very slow impact velocities, you will loose more yotes than you would like.
I have had two of the 6mm Rem AI's. The 70g Nosler BT is shooting a tiny group at 4150 fps. The heavier bullets will cause a more arc'd trajectory, and for yote hunters, that means that you unzip them. Shooting p. dogs at 700 was easy.
I think that a 1-12 twist with the 75g V Max is what you are looking for at 4100 fps out of a 6 Rem AI. Using R#19, the Sierra 80g Blitz BT at 3800 will clobber yotes at 500 and way beyond.
I shot chucks with heavy bullets a long time ago, I was not a happy camper! I have killed a lot of coyotes, and would never even consider shooting the bullets that you are talking about. I did not even like how the 80g Berger killed at 3500 fps.
A friend in Colorado has a cartridge that is very interesting which is a 22/6mm Rem. He is shooting the 75g V max at 3800f fps.
I had a good friend build a custom 25/06 using a 1-*12 twist Shilen barrel that is 26" long. I worked up a load for him that was 63.0g of R#25 with a fed 215 and a 100g Sierra sp. The load shot in the 3's at 3650 fps, and only had to neck size cases.
What ever you do, I suggest that you abandon target bullets and use design bullets that are designed to expand, and I have made many thousands of target bullets that I shot on P. dogs and chucks. I played around with all different sizes of HP to get my bullets to expand.
I still use my bullets on yotes in a 243 AI, and they do a great job. The 75g V Max opens up better at extended ranges along with the 70g Nosler BT.
Speed is the killer on yotes.
I have used custom 257 Weatherby's with zero freebore with the 100's at 3850. I am now shooting a custom 7 STW with zero freebore and the 120's doing 3850.
I worry that you are over thinking this project. Heck, even a 6/284 with the 80's doing 3700+ will dump yotes coyotes hard at 500.
There was an ole boy that was a predator control officer in Texas by the name of Harold Broughton. Harold has killed over 5000 coyotes with the mass of them being taken with the 220 Swift with the 52g Sierra's with a over book max dose of IMR 4064. He switched to the 257 AI which is the Roberts improved to get those yotes that hang up at 500, and last time I spoke to him, he was giddy over how well the rifle was doing with 100g Sierra's. Of course, the 257 AI is the ballistic twin of the 25/06, unless you use the loads that I listed above, which is the ballistic twin of the factory 257 Weatherby.
When the berger 105's first came out, I was first on the band wagon to shoot them...they punched holes through everthing unless I hit a shoulder.
I hunted Mexico for 12 years specifically for just yotes, we did a lot of bullet experimentation.