Fallout and Fallout 2... Great games. I still fire up Fallout from time to time. I love creating overly specialized characters to make the game more challenging. Like max intelligence, charisma, perception, luck with minimal strength and endurance. Ever talk the Master into killing himself without firing a shot? A ninja is another favorite. Combat knife and throwing knives.
Anyway, I have always parked off of the grass when able and otherwise just tuck the thing away outside of town. Sometimes I leave it docked at the End of Time and travel through time the old fashioned way, as long as I don't need to go to a remote island. And if I head to the Prehistoric time I take Dactyl even when the Epoch is available. Pre-DS there wasn't much of a need to be there though, except the armor if I remember correctly. It's kinda too bad that the game wasn't expanded there. And to an explorable 1999. Maybe earlier in the game you could arrive there the morning of the Lavos attack and explore future Guardia before the timeline gets smashed to bits. Even just a building would be cool.