I used a 100gr Barnes in my 25-06 to take a pronghorn several years ago. It killed it but I don't think i'll use them on such a small animal again. Standard cup and core bullets work just fine on deer and antelope out of the .243Win.
Also depending on your twist rate of your rifle it may not stabalize the Amax very well for you. They recommend a 1:9" twist I think for that bullet. Many manufactures use a 1:10" twist for their rifles. If your rifle has the slower twist I would move down to 100gr or less.