Re: .243 win loads
The 243 and saving pelts do not go hand in hand - but it's what you want and what you have.
For up close you need the bullet to stay together and pass through - it's got to stay together if you want a hole and not a bloody mess. Try the barnes 85 gr. TSX over 44 grains of 4831. Depending on barrel length you should be around 3050 fps. ...Slow is what you want.
For long range I've had great success with the 105 gr Amax... But you may not be able to stabilize anything over 100 grs. So, I'll give you two loads and bullets to try.
105gr. Hornady Amax 47.5 gr. H-1000 ~ 2953 (ave) fps.
100gr. Hornady Internlock 47.8 gr. H-1000 ~ 3032 (ave) fps.