Re: barrel jump?
Getting the shoulder up higher on the butt pad, closer to the bore axis, can reduce the vertical component of recoil, and may help with muzzle flip. Maintaining gentle but deliberate butt pad pressure against the shoulder can also help convert a slamming recoil pulse into a more consistent push and this can also reduce the effects of recoil.
Another approach (I own three .30-'06, including my Garand, which is definitely much heavier than the other two), is to go with a lighter load. Unless you're shootng well beyond 300yd, .30-'06 hunting loads do not need to be any heavier than a 150gr bullet. Remington 150gr Core-Lokts are my goto deer load for Northeast woodlands.
In fact, their Managed Recoil 125gr Core-Lokt loads are pretty much an adequate deer load for shots of up to 150yd and maybe a little more. Our Northeastern woodland seldom permit a longer shot anyway, so these could actually be considered a preferable deer load in my locale, especially if recoil is an issue.
But I also don't use anything lighter than 150gr with my Garand, which has special handloading bullet and powder requirements.
I have taken some of my 125gr Core-Lokts factory loads apart and replaced the charge with 50.0gr of IMR-4064 (my standard 150gr Garand load), and this appears have upped the power factor to a more decisive level; shooting flatter, but still providing more manageable recoil than the 150's. Because of the 125gr bullet weight, I would still keep longest shots to around 150yd max, but would also expect more decisive bullet expansion; which could get wicked explosive on really close shots.
For targets, the same 50.0gr of IMR-4064 and the new 135gr SMK's might be a good starting load.
These are just a few ideas I've tried and liked. Part of my requirements involve a 110lb Granddaughter who's right at home with the .30-'06 sporter using 125gr loads. She actually likes the rifle.
Greg