I you don't care about pelts, I'd go with a 50 or 55 grain Nosler Ballistic Tip. I've had great results with both from my .22-250's. I've never shot a coyote with one, I have shot a very big groundhog, and the 55gr BT turned the whistle pig literally inside out at 200 yards. I have no doubt that it's seriously mess up a coyote at any practical range, but if any parts of the bullet exit, there won't be much pelt left to sell I don't suspect.

If I were going to go coyote hunting with selling pelts in mind, I'd be very tempted to give the Barnes TSX's a try. Barnes now make the TSX in 5 different weights in .224 cal. I'd probably give the 45 or 53 grain version a go and see how it performed. I'd pretty much guarantee that it'll pass through a coyote every time (but so will a FMJ), but the entrance and exit holes should be reasonably small and uniform so they can be stitched up.

Good luck,

Mike