I've been doing a lot of load work with my 30-06 recently and there are quite a few powders that will work really well in your 30-06.I'm guessing your loading about 58.0grs with that 165gr AB.I tried all three of the 4350 powders and the results were very similar.Accurate Arms 4350 is a great choice if you cannot find the H-4350.I also liked the IMR-4350 too,but the AA-4350 overall gave me the best results of the three 4350's.Here are some of my loads for the 165-168gr bullets.These all shot an inch or less in my rifle.
59.0grs H-4350
58.5grs AA-4350
58.5grs IMR-4350
52.5grs AA-4064
60.0grs Hunter
56.0grs Big Game
63.0grs Reloader-22

~Molɔ̀ːn Labé Skýla~
As Bob Hagel would say"You should not use a rifle that will kill an animal when everything goes right; you should use one that will do the job when everything goes wrong."Good words of wisdom...............