my last suggestion was intended with the idea of using small cals like a 204 or 223. In your case with a 308 and maintaining minimal pelt damage I suggest going the opposite direction and using a full weight FMJ if legal in your state, if not? Id go with a sturdy soft point like core lokts or interlocks or even a bonded core like a TB bear claw or nosler partition. with a cal like the 308 you want minimal expansion of the projectile and have a clean pass through. also stick to bullets in the 150 to 180 grain class so you dont lose trajectory from low ballistic coefficients like you would find from 125 grain and lighter bullets the lighter bullets in a 308 really kill your effective range and trajectory.

Back when I first got into yote hunting I too used a 308 it was my only scoped gun at the time and i found that 110 grain 30 cal V-max bullets are just murder on a yote even though they are great in light cals they are still just to much in a 30 cal they'll fragment on impact and the KE wont dispurse fast enough and the exit wound will look like a 12 ga blast coming from the inside out. good luck