Dwill, I have a fairly short draw like you. I only pull 27 inches. In all my longbows of 50-60 pounds I only shoot one arrow. That is a carbon Beman ICS Bowhunter shaft cut to 28.5" and topped with a 125gr field point or 125gr broadhead. I use no extra point weight and utilize the stock aluminum insert of 20 grains. All up point weight of 145gr.
Fletched with 3, five-inch feathers this arrow weights 383 grains. And it flies like no other combo I've ever shot and I've been doing this for 40 years.
I honestly feel archers ruin the best feature of the carbon shaft by front-loading the point in an attempt to reach some magic total weight number or FOC formulated balance point.
Remember, this is a new trend and it was unknown only a few years ago. We all killed our deer nicely before without crazy weight forward.
I say this because I believe tip weight over 150 grains on a carbon arrow is a huge error if great flight is what you are after.
I'm virtually alone in this belief, but come of it by years of target testing indoors at competitive shoots where the score is kept. This is the only way to really tell if a systems change is any good. I don't put stock in anecdotal evidence based on one hunter's lucky shot.
All of which to say I hope you try a light carbon with modest point weight along with any other combo others will recommend.
Jack
PS. I've killed many deer in the last 15 years with arrows under 400 grains. One of the Wensel brothers has written on this same subject and he agrees with me. He now only uses light carbon shafts with light broadheads when hunting deer.