The attic has to stay the same temp as the outside air. It will if you over insulate. Roll R19 across the existing R30 and put an insulation tent over the scuttle hole stairs. Careful of pot lights. Make sure they're IC rated. THey should be if they're in the a ceiling below an unheated space, but you never know who put them in.
Venting is as important but can be rendered useless but some type of venting. I always install soffit vent where possible instead of vented drip edge as the vented drip edge gets iced over and blocked. If it can't vent, the heat from the day combined with lost heat from the house will allow the layer of snow against the roof to melt and run down to the edge, where it hits the ice and freezes.
Temps just below freezing during the day are when we have the issues. As NF says, it's almost always the N or NW side that has the issues since there very little direct sun on that side this time of year.
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