"They seem to be as accurate as rimfire BR guns,"
Within the contest of Airgun Benchrest shooting, the top rimfire guns are significantly more accurate than airguns. While 250's at 25M is still fairly rare outdoors with airguns, they would be commonplace on the same target and distance were top target rimfire guns to be used. As the distance grows, the gap widens, and at the 75-100 yard distance you desiring, you would for sure be better served with a decent midpriced rimfire using middling target ammo, but frankly, few serious coyote or pig hunters would select the .22 rimfire as a firstline choice for real hunting, preferring centerfire guns.
Not to say you can't hunt with an airgun, but here what I have seen. Airguns suitable for conventiaonal target shooting are not powerful enough for truly sportsmanlike hunting on anything but small game, say up to jackrabbit size. A decent sporter type airgun of around 30fpe in .22 cal can deliver regular hits on a quarter at fifty yards, and a fifty cent piece at 75 yards with good compatible ammo, light breezes, and an experienced shooter, but even headshots on a pig beyond slingshot ranges would be, to me at least, pretty marginal unless the animal is asleep.
Though the groups airgunners tout at longer ranges is decent, and often possible, the effect of wind is significantly more than on a rimfire bullet, so first shot hits at a distance (esp were the distance is a guestimate, is much harder for airguns).
Moving up to a higher power .25 cal airgun, say 60fpe, will give slightly more latitude with wind doping, and might extend range on coyotes and very small pigs to perhaps 25yds if the shot is perfect, but then the cost of ammo begins to equal that of rimfire stuff, and the volume of air being used begins to get disappointingly high.
As the airguns get larger, say .30Ca and higher, it seems the AVERAGE practical accuracy they produce becomes less, and to me, I would doubt any of them are accurate enough (as a class) for decent hunting beyond 60 yards no matter HOW much energy they have.