What press are you using.. A little trick I learned along the way is with the lee single stage press to prime on the hand prime then put the priming device on your press with not primers and when your about to seat the bullet push the case down (by moving the arm up) with some good force then go up and seat the bullet as per usual.. If they were not flush or below before they will be now
To each their own, but my personal preference is to exclusively seat the primers with a hand primer. Messing around with a primer and a casing full of powder is not advisable under any circumstances. That is why the presses and instruction are specific to ensure the primer is seated during the re-sizing operation or before the powder charge is delivered into the casing.
I find there is much more control and optimal safety. Each seated primer is automatically checked for correct depth and uniformity. I then add the powder charge and seat the bullets. I use magnum primers because I use Win 748 ball powder for my loads. The loads are set to the velocities prescribed by the US Military specs.
As for the issue of slam fires, I have not yet had a slam fire in over 500+ rounds I have reloaded for my M14. I frequently check the bolt and firing pin to ensure there are no obstructions and that it moves freely - I do this usually when I am cleaning the rifle. I always load from the magazine - a little trick Hungry advised at one of his clinics.
The M14 platform is sturdy and designed for a little abuse in unusual (battle) circumstances. Like any firearm, that means some TLC and diligence is required on the part of the owner to it operates as designed.