130grn will work great for deer. I dont have a 30-06 but thats what my bud uses and like them. He also used the 125grn BT on deer with good results. 130grn is not a varmit load its fine for deer prob need more for bigger animal though.

A 270 with 130grn bullets is argued in most gun/hunting mags as the best deer hunting combo you can use. I dont think .031 of an inch to a 30caliber gun changes that much. The speeds are about the same and the densityarent much different.

Ive never seen/heard of a 130grn bullet not stabiling out of a 30-06. I cant see how this is even possible with factory non screwed up reloads. I would be very interested in what gun and what ammo you had this prob with.