While a swing speed of 105 mph with the driver is very solid and will let you hit it long for an amateur with good delivery of that power to impact, the fact is is that you're WAY too into yourself if you think that anything but 0% of your problems come from a premium ball not being able to "handle" your incredible power.
The only possible problem, even for a very cheap, soft ball, is that with an above average amateur swing speed you'll cut up a cheap, soft ball really quickly with the low irons and wedges. Sure, you might want to try different balls to find which works best (ie delivers the combo of distance and control you prefer) for your particular combo of swing speed and motion through impact, but again, the problem is 0% that you just have so much power that no golf ball can handle your power.
FWIW, any premium ball from any brand is going to handle 105 mph without breaking a sweat. In fact, you are not capable of overpowering any ball you get that's not explicitly designed for slow swing speeds (and those kinds of balls all say it's for slow swing speeds on the box). Get over yourself.