You might want to try a couple of different factory loads in your 30-06 and see how it shoots (it doesn't sound like you handload). I tried a few different ones in my Rem 7400 a few years back and found out that it was a MOA or under with cheap 150gr PSP Rem Core-Lokts and Federal Fusion. A couple of other loads it wouldn't shoot worth a darn.
It was well worth my time and effort, and if you find anyone else shooting 30-06 you can always split a few boxes for testing purposes. Almost every rifle or handgun I own does the same thing - like some loads, hates others.
Having said that, I think anything 150-180 grain will probably work fine but I'd test as noted above to see what your rifle likes.