DGY - try to look up for the original 1906 loading for the 30-06 - 150 grain flat base bullet at 2,700 fps - today we would expect 180 grain bullets to exceed that speed - with modern powders, etc. - the primers and powder that the US Military used then, are no longer available. I have a number of WWI rifles in 30-06 - so to match the rear sight markings for range, I wanted to duplicate that WWI loading - can't get those primers / can't get that "hot" powder. Modern factory ammo is "too fast" to match the original load - circa 2900 fps with 150's - many hand loaders can go into 3,000 fps with those, in 30-06. So a guy on CGN who has already done so, suggested to use IMR 3031 powder and Speer #3031 (not #3130!) bullets - you want 150 grain, flat base. 30 calibre - 0.308" diameter - Soft Point expanding bullets with an exposed lead tip - not perfectly identical to the WWI bullets, but close enough - reputed to fly about the same. And, of course, I have done nothing about it yet - various Large Rife and Large Rifle Magnum primers on hand - a fair bit of ex-military 30-06 brass (probably not WWI stuff though) - but I should be able to get those sights to work "close enough" on those old rifles.
That won't make the mildest recoil possible with a 30-06 - but won't be the "hottest" either - was what the old time guys used - White, etc. - and what made the 30-06 so famous - I found it actually hard to find stuff about 1906 loading - most chat room posters jump to the M1 and M2 Ball loads used by US Military. But the original load for Enfield "P17" and the Springfield rifles - in WWI and for some years after - was 150 grain FMJ bullets at 2700 fps muzzle velocity.