I wanted to know what the opinions were on shooting either a v-max, sierra HPBT, or a Nosler Ballistic Tip from a Rem 700 243 for coyotes mainly.

Just my opinion only, but it seems every coyote I've shot with my 243 has not been good for the hide unless you're getting paid by the stitch to sew them up. Don't know about the Sierra, even though I have some, just haven't shot a coyote with them. The only coyote I shot with the 243 that wasn't a wreck was loaded with the lightweight 55 or 58? grain loaded up warm, but within book limits. A running away quartering shot (not my fault-he ran into it), behind the front leg. Hardly any damage at all to the pelt. However, I have to think if it had been broadside, it would have made a mess going out. Haven't seen much difference between the B.T. and the V-max in performance even though the B.T. may have a slightly thicker/and or tougher jacket; but I'm not sure about that either. The worst bullet for hides that I can think of is the old 87gr. Speer with the big hole in the hollowpoint. It would also flip prairie dogs higher. Just an observation. jp

If you are not saving the pelts then I'd choose the most accurate. If you are hoping to save pelts then there are at least two "schools of thought" on the subject. One is to load the bullets up to high velocity with a lighter bullet that will leave a small entrance and no exit hole. The other idea is a more sturdy bullet (thicker jacket) at slower velocities that leaves a small entrance and a slightly larger exit hole from a basically intact bullet. I have some handloaded 6mm BR (.243) using the Sierra 80 gr. SPT Single Shot Pistol bullets I am hoping to try on coyotes with my 15" Encore barrel - seems like I end up taking my .223 or 12-gauge shotgun instead most times. They are designed for slower velocities, so may be worth a try. Very accurate bullets in my Encore as well.

Shot placement is also a contributing factor in pelt damage. Getting the ole dog to stop at the right distance and with a good broadside stance sure helps in picking your shot. Good luck.

I worked up some loads for a local trapper for his coyote shooting. He was having trouble losing coyotes hit with his cheap S&W 100gr. ammo as he wasn't a good shot and gut shots usually meant a lost coyote.

I started and topped load development with Hornady 75gr. HP's, driven at 3,600fps. His little Ruger liked these, printing sub 3/4" with top-end loads, most powders. the best thing about them, is they didn't exit and therefore there was no sewing to do on the hides, yet they killing like lightening.
Today, if doing the same thing, I'd be trying the newer lighter weight bullets, driving them as fast as possible, to prevent exits. A 55gr. at 4,000fps sounds about right.
Oh yeah - don't shoot a fox with a 75gr. HP or 55gr.(or 58-whatever) Vmax driven at tops speeds if you want the hide.