Ive anchored plenty of big male coyotes without a twitch. I shot a 42lb male this winter at 362 yards with a frontal.DRT, he was knocked over backwards, insides were jelly. My longest shot to date with my 17 rem was 380+. I shot a 47lb male this winter at 250 that was DRT... ect ect ect. The guys who say the 17s arent big enough for coyotes dont use them. Im not saying they are 22-250s by any means. But ive shot 100+ coyotes the last few years with mine, havent lost one and only had 3 or 4 runners. 9x outa 10 the coyotes on the ground so fast you'd swear it was struck with lighning.
Very few of the coyote I shoot are past 250. No need, I usually have more trouble stopping them for a shot then worrying about holdover.
If most of your shots are 300+ a .17 prob shouldnt be your first or second choice. If you save your hides and occasionally shoot 300-350 yards then it may be a good fit.