I don’t know this area at all but it seems a very similar setup to where we live and we have a 3 acre paddock. We’re a bit further from the nearest town - about 10 miles - and we also have two good sized cities about 15 miles away in opposite directions. We are rural but near enough to a motorway (proximity to the motorway was actually a required for us as we both commute a fair distance to work). You soon get used the road noise and to be honest when the birds are out you don’t actually hear it. Even if you do, the view and the wildlife make up for it.
You will also get used to the getting in the car and it will likely make you more organised. I very rarely run out of anything now as ‘nipping out’ is a bit of a faff.
Our closest neighbours are almost exclusively farmers. We have never had to worry about being snowed in as they have generally cleared the roads before we are even out of bed. Either the farmers kids or our ds mow the paddock for £50 (a bargain as it would take dh ages, even though he does have an industrial mower). Once or twice a year, the farmers also put their sheep in the paddock to pasture and they help keep the grass down - win win.
You will spend lots of time running the kids about. We mitigated that a bit by being pretty much an open house (then the other parents have to drop their kids to you). And like us you’ve a train station nearby so as they get older you’re dropping and picking them up from there which is far easier. It does give the kids an incentive to learn to drive quickly - dh passed his test after only 2 months.
Fwiw our kids absolutely love living here, even now. We’ve asked if they would prefer to live nearer town with more activities and both have said absolutely not. It probably helps that we’re still happy to collect after a day or night out and always have a car full.
Dh and I love it here too. We have plenty of space but neighbours not too far away. We all keep to ourselves but if we/they need anything we all know we can ask. It felt like home from the day we moved in and I’ve never felt unsafe at night, even when dh is away, purely and simply because if you didn’t know where we were you would never find us so I don’t think burglars would venture out to a place that they can’t stake out. But we do have a comprehensive security system and cameras all around the property just in case.
Ultimately it’s up to you but before I met dh I was a die hard city girl and now I couldn’t imagine living somewhere that hectic and busy.