Yah I'd try h4350 and see what that does...
Couple of other questions that crossed my mind:
What are you using for a scale? Doubt that it could be your scale is reading higher than reality but it's worth checking vrs another scale to verify.
What make of barrel did you use for the build? Perhaps it's got a slightly oversized bore? Less friction/less pressure...
What is your headspace like? If you are a ways off on your headspace with virgin brass maybe that could be part of the culprit... if you were forming the brass from 7mm saum or 300 saum I'd say you could leave enough of a false shoulder at the neck/shoulder junction, just enough that you feel a sligh crush on closing the bolt, getting you a good seal on the chamber...
If you are 0.020" off the lands I'd say that's pretty much where I load mine to so I wouldn't say you are jumping them too far.
Have you tried with the Hornady brass yet?
Orch