I think I might opt for a red dot over a scope for the .480.
The 480, like the 44mag, is really a 120 yard gun. Not that it doesn't carry enough energy downrange but once you get out past 120 the bullet really starts dropping fast (2" from 120-130 and 2.2" from 130-140). The longer barrel of the TC will probably stretch that out to 150 or so but that is about the max I would consider...and that is shooting from a good solid bench.
A red dot is perfectly suited for 100 yard shots (2.35" center to center)