For my deer load (could very well be used for elk, too) I use Hornady's 165 grn. S.P.s (standard flat based, interlock). I use IMR 4350 (not H 4350) and Varget for propellant; both work very well in my vintage, wood-stocked M700 ADL '06. I also use CCI 200 LR primers, and most all brands of brass seem to work fine when fired-formed to the rifle and properly trimmed. My C.O.A.L. measures from just off the rifling. I use Hornady's straight O.A.L. guage with the modified case to determine my C.O.A.L.
Both propellants mentioned will consistently group 4-4 1/2" @ 300 yds. That's pretty much my max. hunting range for a shot on a critter. Through the summer, and right before hunting season with more frequency, I shoot at a cardboard elk target @ 300 yds. over my daypack for practice. I'm fortunate to have a place 15 minutes from my home to shoot at my elk target.
For my elk load, I use Hornady's 190 grn. B.T.S.P.s (discontinued now, but I still have a good supply for my hunting needs) and IMR 4350 propellant exclusively (again, not H 4350). This load is used in my newer M700 ADL '06 with the factory synthetic stock. Other than not using Varget in this syn-stocked ADL, everything else as far as load, case info and accuracy is pretty much the same as with the old vintage M700. I use the 300 yd. elk target with this rifle over my daypack, too. Actually, this target I made is about the size of a good sized deer; just looks more like an elk...
Both of these loadings have proven (to me) in the field to be more than adequate for the jobs at hand, and plenty accurate to make a well placed and confident shot on the critter out to 300 yards (and when conditions are right, maybe a bit farther). And the quote below will always ring true (IMO):
"The 30-06 is never a mistake." (Mr. Rifleman; T. Whelen)