As an update, those visits as we see them in Analytics are not hitting our servers. Not sure how they are doing this, but traffic does show in analytics but we do not see any spike on our servers.
We take the country out through filters at this point so we can at least review some true data.
Your question about how to ignore it after the fact can be done similar:
Go to Google Analytics > Custom Reports > Add Filter > EXCLUDE the country > Save
Now your GA will show all past results without those entries.
It is a custom report, but better than no data at all?
Hope this helps