I can't imagine trying to plow more than a couple inches of snow with my lawn tractor as I'm sure it would lack both power and traction to do the job. One time after a really heavy storm my neighbor came by and plowed my drive with his bobcat, which was nice of him but also pushed piles of gravel all over the place, which was a real mess come spring.
If your gravel driveway is anything like mine it's far from perfectly level so no matter how you set the shoes on your blower you're going to pick up a fair number of stones. It's unavoidable.
The first few inches of snow, I would drive back and forth with my truck and pack it down. After the gravel was completely covered with packed snow, then I would use the blower the rest of the winter.
I tried this once many years ago. The end result was that the snow left on the ground soon turned into a sheet of ice which was worse than if I hadn't done anything about snow removal.
I've been using the same snowblower on my gravel driveway for 20 years now. I break a few shear pins so I always keep a supply on hand. Yes I have to rake gravel from the grass in the spring. Another problem is that all those stones hammering on the impeller housing have it somewhat belled and actually punched holes through in a few places that I welded up last year. I would certainly not recommend using a new blower for that duty if you want to keep it nice for your paved area. Having a cheap used one dedicated to the gravel drive might be wise.
One other thing I noticed after all these years with the gravel drive is that after I did the impeller mod a couple years ago the snowblower has pretty much stopped breaking shear pins. I think the rubber extensions keep the clearances so tight the stones don't get lodged between the housing and impeller. They do get thrown farther though so you have to keep that in mind.