32 miles of bicycle commute every day. Now, that is impressive!
I wish I roughly knew where you lived as that will help understand the elements you are going to be up against. Snow & ice gives a hint. Up north where I live, this lasts a good 4 months per year. Have you biked through this stuff for a whole winter? I found it ain't fun. It needs to much special clothing. Even with special winter wheels, it still is too darn easy to slip and fall.
I have a 80 mile work commute. I too live car-free. But this is easier in Europe than America. Car pooling to work has worked really well for me. Six months of the year, Oct-April, I take the bus about 4 miles to spot where carpool starts. The other six months I bicycle to there. I try not to buy the unlimited rides pass, as that way I have an incentive to walk home evenings thus saving money and getting some exercise. I feel more rewarded this way. Is there any way you can find others commuting from where you live to where you work? I found that students are most open to the idea as sharing those gas costs matters much more to them. They also tend to be more eco-friendly. Carpooling would save you time and effort.
Another option might be to negotiate a partial or full work-from-home situation. I do that one day a week. Sometimes two. It is great to be able to telecommute, especially during snow storms and such.
How often do you visit family? Is there someone else who needs to visit that area during weekends? Cousins? Siblings? Old school mates? The children of your parents' neighbors? If yes, could you share the ride with them? I always pay for my share of gas. If it is a very good friend and they would rather not take cash, I buy the meal on the way. Or buy them a gas of tank once in a while. Or get them a gift they could use when I go abroad (food usually). Or cook for them.
If I were you and I could not find a ride share, I'd seriously consider buying the scooter. With that budget, you could buy both the bicycle and scooter. I'd buy them used. And I would not fuss too much about having a foldable bicycle because in all likelihood, despite the best of my intentions, I will rarely carry the bike with me. It is like this friend who bought a certain car with the need to transport bicycles in mind. And in the 5 years he's had it, he has put bicycles in it like twice. Or this colleague who showed off his huge van with sleeping for 3 yesterday. After the first year, turned out he was averaging 1 night per year sleeping in it. I'd be the same.
And oh. If I were visiting family I would not shy away too much from asking to be picked up once a while. Maybe they go somewhere close to where public transport gets to, once a month or something. You could just align your visits with the trips they are already making.
Whatever I did, I would not invest too much money into buying up stuff to help me solve this situation.. as situations do have a funny way of changing over time rendering stuff obsolete.