I use a Bobcat. I have a 1/2 mile long gravel driveway, and I get to clear it all by my lonesome! (I found an '81 diesel model with only 700 hours on it a few years ago)

Early in winter it works great, but after tons of snow, the snowbanks get almost too high to dump above the tops of the banks. This slows everything down because I need to push the snow further down the driveway until I find a lower bank to dump it over.

I used to hire a neighbor to plow/blow. He has a big John Deere with a 12' wide blower on back. This works best because he just makes one trip in, and one out to do the whole thing. The problem was he never wanted to come over to do our driveway until 8 or 9 AM, and I leave for work around 5:45 AM. When we get a foot or more of snow at a time, it can take me 1 1/2 hours to clear our driveway though!

I kind of like it though. Gives me time to 'zone out' like riding the mower around our yard in summer.

The best would be a blower / tractor, or blower / skidsteer. But with a 3k budget, hiring a neighbor or service might be best. I couldn't imagine using a walk-behind blower. That would take me all day!