The 25 miles is a bit much, but if your instrument/sporting gear can fit in a bag, you can carry it on a bike. There’s backpacks for guitars, cellos and tubas and I regularly see kids cycling to their lessons with those. This is a fairly dense town though, so 5km max (20 minutes at child-speeds). Kids also can’t drive cars, so if it’s not happening by bike, it’s not happening at all.
You underestimate how much noise cars make. I’m 20 meters from my neighbors and I never hear a peep. Meanwhile, I’m a kilometer from the highway and I can hear always hear it at least a little bit (and a lot when the wind is in my direction). So you have to go really low density, like 1 house per square kilometer and 5 kilometers of dirt road before even reaching a regional road, to go quieter than this, but… unsurpisingly, not many people live there.