Your Paramount would be an excellent bike for a ride like that. Long rides, particularly where you're not concerned about having the absolute lightest bike (i.e. not racing) are the place where classic steel still shines.
If various componets or wheels are needing repaired/ replaced, I'd get those fixed/ replaced, and ride the Paramount.
Besides, the bike will be a nice conversation piece.
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You could fall off a cliff and die.
You could get lost and die.
You could hit a tree and die.
OR YOU COULD STAY HOME AND FALL OFF THE COUCH AND DIE.