I have killed several trucks full of coyotes with custom and Factory 17 Rems and more than a few with a Mach4, 25g Berger Match was the bullet.
Coyotes can take a lot of killing, perfect hits are not always possible, and one of the first things you learn is that you make shots with coyotes walking, trotting, and running. Imperfect hits are a reality; get used to the idea. You need to knock them down, where you hit them again.
Bullet weight does matter, especially as the distance approaches 200 yards and further.
I really detest flipping and flopping coyotes after they have been hit.
A 204 ruger, 20/223, and 20 Tactical, with 40g V max slay coyotes, but in instances past 250 yards, even they may have run-offs on low hits or hits behind the diaphragm. A friend gave up on his 20 Dasher due to run offs at 350 yards. He went with a BIG 6mm with 55g Nosler Ballistic tip at 4300 to stop them cold.
In the 17 Caliber, the 30g Gold is the very, very best bullet, second by the 25g Berger Match. The Hornady 25g HP just fills my Shilen barrels full of copper, QUICK. The 17 Ackley Hornet loaded at 3550 with 20g Berger MEFs was a dismal failure on several close-range coyotes, one I found and the other never found, solid broadside hits at 15-25 yards.
I have a print# on a 17 Remington that shot groups so small that they were all but impossible to measure with Berger 25g HP loaded with around 22g of H322, Rem 71/2 primers with a MV of 3850. Basically, the reamer did away with all but .020 freebore, and was a turn neck. Neck tension on the 17s is critical, more so than any other round I have ever fired, attempting to shoot bug hole groups.
I bypassed the 17 and 20s, opting for a 22-204 ruger where I shoot the 53g V max at 3700 fps with 29.2g of IMR XBR 8208 with a CCI BR-4, sub 3/8" groups at 200 does not suck. Redding 204 S dies and reamed out Forster 204 Ruger seater sleeve. Of course, this cartridge feeds like a charm, by-passing a lot of feeding issues that some actions have. The 22-204 is an idiot proof case.
The cost of 17 Reamers is astronomical...look before you leap.