this is EXACTLY why I didn't buy a suzuki. I love the quiet/smooth operation. It is a little on the over-rated side, little weak getting on plane but i could have lived with it. That tiller, though. I could not get past it, period.
You don't have a lot of options. Transom wedges really don't help much in your situation. They'll move the clamp bracket a little, but won't change the attitude of the motor itself because you generally will have to readjust your trim pin position to compensate for the wedges, which puts the tiller right back where it is now. A foil will lift the stern a little which makes it plow even more, so then you have to move the trim pin "out" another hole to compensate. The problem with foils is that if the motor is not set up properly, the foil is in the water while on plane, meaning you will lose significant top speed due to drag. So the way around that is to lift the motor on the transom so that the foil is up out of the water, but then there comes a tendency to lift the bow and/or prop "blow out" in a turn.
There is never a free lunch, one change results in something else almost always. So you have to play around with it until you get it where you can live with it and at that point leave it. I know guys who fiddle with them constantly and to each their own. They can fiddle while I'm filling the livewell. I may not win a race back to the ramp though. Fine with me.