Shaft or swing issue? Hook/draw.

[Hey_Porter]

This is a question that really needs professional observation and advice to answer, but I thought I'd see what people think. Here's the issue: I hook/draw my driver consistently. I draw it about 35% of the time, with perfect ball flight, and it's a thing of beauty. About 55% of the time, it flat-out hooks bad. Starts out straight as an arrow, then dives left. Other 10% of the time I duck hook it. I NEVER hook my irons; it is almost always dead straight or a slight draw.

I'm obviously closing the club face too much with the driver. My swing speed is around 88 mph (based on 10 or so measured swings), which is in regular-shaft zone, but is there a chance that a stiffer shaft might still help me keep the club face square at impact? Or is it a part of the swing that is beyond shaft flex? My instinct is the later.