You may have to heat them up to the point where the BT would collapse from rotational torque as the bullet starts to in the lands.
Since there are so many great hunting bullets out for coyotes, I would think that annealing would be a waste of time. I shot quite a few 68g bergers on coyotes in a 243, they worked great. 80g Berger at 200 yards blew about a 2" hole in a coyote on the off side.
The worry is that beyond 350 yards if the bullet will expand and kill efficiently. A coyote will flip and flop, spin and bite himself, but when he figures out that he is not been bit by another animal, he is gone in a flash. Plan on shooting a cannon if you want to hit them behind the diaphragm and put them down, 243 Win power factor at least.
It is a bad plan to focus on the BC of a bullet for hunting coyotes for short range(450 yds), you are going to end up shooting a bullet that punches holes in a coyote...they are only about 5" thick. 87g V max is a great place for you to start (BC.400).
Question for you: Out to what point does Velocity with a bullet with a poor bc (time of flight) trumph a heavier bullet with a better BC? Remember, you are shooting coyotes where the bullet has to dump energy! You are going to be shocked when you do your research on this question!!!
One of the cases that I used with great success is the 6/250 AI shooting the 70g Nosler at 3750 fps, bug holes, massacred every critter I pointed at, plenty of room left in the mag box to chase the lands. 6x47 Lapua is darn close to the 6/250 AI..HINT! We were hunting Mexico in those days down the Baja, and State of Sonora...massacred the coyotes.
These guys shooting the 22/243, 22/243 AI, 22/6mm AI probably have the best mouse trap on the block when it comes to a dedicated coyote rifle shooting the 75 and 80g A max for 500 yd shooting in the wind. If you plug in the numbers, it is hard to believe....and most important....killing power in a magnum class without the magnum. Remember, with your action's mag box, set yourself up to be able to chase the lands as the leade grows. You are not going to fill the case with any powder you choose, so you can stuff the bullet down in the case without worrying about a pressure spike more than likely. By stuffing the bullet down in the case, you will have more room left in your mag box. Start at the start.
I killed two coyotes in Sonora, Mexico with a 80g berger shot at 3600 MV(6 Remington custom Parker Hale, 42g of IMR 4064) in the range of about 450 yards. There were 8 coyotes in a back end of a field on a cow, and they were playing the game of which one was going to be the most Dominant for possession of the cow. There was a slight cross wind and it was blowing the sound of the gun shot away...we could not believe they were not paying any attention to the gun shots. I emptied two, five round magazines at them killing two, hitting 4 before they got wise to what was going on. From that point forward, my 6mm bullet for coyotes has been the 80g Sierra Blitz BT because it anchors them real good.
You can spend a lot of money and time designing this and that, but if your bullet does not work for you as a hunting bullet should, you are really wasting your time and money. I know a lot of dedicated coyote hunters that Kill a lot. All of these very serious hunters with some very expensive customs shoot Sierra, Nosler, and hornady v and a max bullets that kill with a lot of energy dump. When you shoot a bullet that has a .070-.090 Meplat, don't expect much in killing power...ain't going to happen at ranges past 350 yards as a general rule unless you have some screaming speed behind it. Velocity/RPM's can get that bullet jacket to open up if don't hit them low and unzip them.
The biggest problem that I have had with shooting coyotes past 350 yards is bullet drop. In real life, you connect on coyotes all over their body, NOT the perfect behind the shoulder shot, this is why horse power with a killing bullet is so important. The 80g Sierra Blitz creates such a tremendous wound cavity from hydrostatic shock that it shreds arteries some inches away from the bullet path. ON a broadside shot, I have found the 80g Sierra blitz to be a killing bullet when a coyote is hit from behind the front leg, to the front edge of the hip(kidney's) when shot out of a 243 or 6mm rem or a variant there of.