I think you will be pleasantly surprised how much better it can look with some polishing using a Dremel.
Stripping the rest of the nickel would be harder than it might seem I think. You might end up with just an uglier block.
I'll find some examples of polished blocks after corrosion when I get home from work.
You can always try the stripping after polishing if you don't like the results but once you start stripping there is no going back.