Staying with the idea of a snowblower as your main winter tool, would you not also want a plow? Maybe not, but I'm just asking.
With a plow you can push things around. Not only snow, but dirt, gravel, brush.
20 some years ago, when I didn't have much money, I went with the JD GT235. While that model no longer made, I just mention it with regard to features and price point. It was a garden tractor because of the heavy duty transmission, a K71. That's where you need to start, not that specific transmission, but something similar. I've heard people suggest the K66 as the min to go with.
My GT235 was (I say "was" in past tense, but I still have it, still use it, even though I now have a new 1025r with loader) non-hydraulic. It was a hydrostatic drive, but no hydraulic lifting. That kept the price way down. No 4wd, no AWD, no power steering, no differential lock. That all keeps the price down. But with the heavy duty transmission, weights, and chains, it could push a lot of snow, get good traction, and was a beast to keep going strong 20+ years later. Also runs a 54" mower deck. All powered by a Briggs Vanguard twin cyl gasoline engine. I don't know what the JD equivalent would be today. My only point here, if you are looking toward the bottom of the JD line with regard to cost, make sure the transmission is heavy duty, and it will probably work for you.
People love to up sell on this tractor forum. It isn't their money. Yes, more money will buy a better tool for the job. But you can still do a lot with rear wheel drive open differential, as long as your transmission is sturdy enough to handle adding weights and take the abuse of plowing. Even if you don't want a plow, you will at times be pushing heavy end of driveway snow/ice with your snow blower.
If you have more money, you buy more expensive tractors with nicer features, such as hydraulic lift, power steering, AWD/4WD, drive over auto-connect deck, rear 3-point hitch, front end loader, etc. Heck, because you think you want to be snowblowing maybe even get a cab 🙂
Would be using it for mowing the lawn and clearing snow on the driveway only.