tremor, I am at a little disadvantage here as I do not know how you release the clubhead. So, let’s assume I figured this out correctly and you are a fairly late release player who is probably accelerating the clubhead at an accelerating rate coming into impact at about or slightly over 100 MPH.
Some notes first before we talk shafts; If a player hits the ball low and wants to hit the ball high, the shaft is not the answer without giving up a lot of directional control. There are many other variables, including yourself, that also control trajectory. For instance, teeing the ball 1/2” higher and also hitting it 1/2” higher on the clubface is the same as adding 1 degree of loft to your driver (not to mention lowering the center of gravity of the clubhead to the balls center of gravity which equals higher flight). I would like for you to use an impact decal and find out exactly how high on the face you are actually striking the ball.
OK, the shaft question; I really do not think a soft tip shaft such as the UST Proforce 75 High Launch is the answer. However, it could be a very good shaft for you if you can hit the ball consistently straight with your type swing. You will only raise the trajectory a little (usually 1 or 2 degrees maximum), but you will not go from a low hitter to a high hitter. Being a 3 handicap, you probably know your swing pretty well. I would mention that it may be good to have someone else look at it to see if they can detect anything that would make you hit it lower with the driver. Possibly ball position or a slide forward coming into impact?
As you can see, I am struggling here a little, but trying to help so don’t take anything too personal here. I do like the driver you are playing as I am a Titleist driver fan on most of their driver models. Finally, I don’t feel I can give you any other shaft recommendations here until we do some sleuthing and narrow a few things down. You may be able to now give me some more info about your swing and anything you might discover or agree or disagree with me here.