I'm in a suburbia (not rural), but we have more of a trail system than a lot of other places in the United States. There really isn't much I can't do on a bicycle, and when I absolutely need to transport something myself, which happens maybe once every couple of years, I've rented a truck for a few hours. My e-bike does most of the heavy lifting when my total travel distance is over 15 miles and I need to transport stuff.
I get up, check the weather, throw on clothes for whatever's happening, jump on the e-bike, buzz half a mile down to a gravel trail that runs north-south through my city, and go do what I need to do. I use panniers mounted on a rear rack to hold stuff. For groceries I tend to go to Trader Joe's which is in a shopping area off the trail about a mile and a half from my house. Hardware stuff I get from a family-owned place that's 7 miles away, 5 miles of which is on trails. Electronics is from a store that's sort of like Radio Shack on steroids that's about a mile from the trail system, but that's more like 10 miles each way. I don't need to go there often. Work is 10 miles away, 9 miles of which is on a trail. I park in a bike cage, and there is a locker room with showers.
E-bikes certainly make it more accessible and I would highly recommend one if you are trying to drive less. Myself and many of my friends commute primarily by bicycle and get around fine on regular bikes, but our city is small and commutes are less than 5 miles.
I just bought a perfectly usable Class 2 e-bike with a rack for $1,100. I have several regular meat-powered bicycles too. Which one I take depends on how I feel. Sometimes I'm just not up for pedaling my way through a 20 mile round-trip errand and will put on my lithium legs.
I get up, check the weather, throw on clothes for whatever's happening, jump on the e-bike, buzz half a mile down to a gravel trail that runs north-south through my city, and go do what I need to do. I use panniers mounted on a rear rack to hold stuff. For groceries I tend to go to Trader Joe's which is in a shopping area off the trail about a mile and a half from my house. Hardware stuff I get from a family-owned place that's 7 miles away, 5 miles of which is on trails. Electronics is from a store that's sort of like Radio Shack on steroids that's about a mile from the trail system, but that's more like 10 miles each way. I don't need to go there often. Work is 10 miles away, 9 miles of which is on a trail. I park in a bike cage, and there is a locker room with showers.