That might be a trip better made with a friend in a better working car to drive you there and to take the strain off you; be there if needed if the trip gets to be too much for you.
Around here they have agencies that will transport you to appointments at doctor's offices or the Social Security Administration (etc) if you have untrustworthy transportation and are elderly or infirmed in some way; (and usually when the destination is too far to afford a taxi to take you there and back, which it sounds like this place is).
We have the same situation here on the Veterans Affairs = 3-4 hour drive through some of the worst mountain roads imaginable, and if you are lucky you won't be crushed in a rock slide or your car go out of control on the steep grade and/or drive off the side of the Black Mountain. (they have "Runaway Truck" ramps all down that mountain for those huge semi trucks that go completely out of control on that steep a grade; and more than one semi was not able to stop by the end of that ramp).
I made the trip yesterday. Left the house circa 0630. Was home before noon. I didn't dawdle at my destination, wanting to be home prior to expected rains with potential storms moving in later in the day. (Those didn't materialize excepting some insignificant rainfall overnight.) Am surprised by the low quality of my new ID photo. I had expected something more modernized than the 1992-issued black-and-photo which graced my old ID. Not only does the new photo remain black-and-white, but is so washed out it looks very like an old 19th century time-worn image, its subject rapidly fading into oblivion. Oh well, so long as it gets the job done I'm content.
The car performed like a champ. Me, I felt rather poorly but survived. (I feel much better today. Go figure.)
I'm glad to have gotten it out of the way, procrastinator that I tend to be.