I would have said 3 thou.
Does your sizing die allow you to take the button off? This would give you maximum neck tension, and would not hurt.
One thing you could do is size as normal, and then run all the brass through the sizer again, with the decapping rod and button removed.
The only time I have had the problem you describe is when the sizing die had worn out in the neck.
FWIW, since I load ball powder in 223, I use a lot of neck tension plus a firm Lee factory crimp to help guarantee 100% ignition and to prevent the bullets getting set back into the case.