Sorry but I really believe that you have been well and truely duped about this "bullet has to be seated close to the lands" bit.
It seems that Hornady agree with your thoughts on the powder and do not list 4831 (you do not say whether it's Hodgdons or IMR BTW) they got highest velocities from H4350, IMR 4359 and H414. Next tier down was N-160, Win 760, Reloader 15 and IMR 4064.
Now about this bullet jump
for several years my stalking load for my Swedish Mauser was the Speer 120Grn flat based bullet. It's physically impossible the get the ogive to touch the lands in this rifle as the ex-military barrel is throated for the 160 grain service loads. Oh yes years ago I picked up a couple of boxes of Norma 77 grn SP loads for the Swede and they shoot MOA or less too. NOW THAT IS A BIG BULLET JUMP!
At first as I too had sort of believed what I had read over and over again about this needing a small bullet jump was worried that the rifle might not shoot very well with this bullet but I tried a few loads and found much to my surprise that it easily shot MOA and with the right powder and seating depth to get onto the right node it seems happily shot way under MOA. Just thought I was lucky. Then the same thing happened in my 6.5x53R when I tried the self same bullet in it. K this one only has the three leaf express sights but at 200 yards on Bisley Short Sibera we found it shot them into a similar size group as the 160 grain bullets. The sights and me the shooter being the limiting factors not the bullets and jump to lands.
Since then I have found that nearly every one of my rifles prefers quite a bit of jump, some bullets and loads like the Hornady 130 Grn SP in the 30-30 and .308 cannot get near the leade and shoot bug hole groups if I get me part right behind the butt.
On new load/cartridge/bullet combination I now start with the bullet seated to the base of the neck and start development from there. Only two rifles have proved troublesome using this method. We do not know how many rounds have been fired through either. The bedding had been tampered with on the 6mm rem and it now shoots a bit better but not as good as one would have hoped. More work to do there I'm afraid
the 25-06 also need the bedding correcting due to a bit of compression over time. The problem is that the barrel is heat crazed for the first 10" or so so we may never achieve it's true potential unless a new barrel is fitted however we have managed to get grouping under MOA with the 10 Grn Sierra bullet..