"but you won't see me flying anywhere near Russia/Ukraine anytime soon"
Actually most flights from Europe to East Asia fly over Russia now while carefully avoiding Ukrainian airspace.
So if you really need there and want to avoid Russian airspace, you'll have to fly via Africa or Americas or possibly transsiberian rail.
By glancing at flightradar24: Everybody is scared to fly over Ukraine, except for Russian (Transaero) and some Turkish planes bound to Russia who fly over central Ukraine just fine.
Airlines are now paying extra-close attention to this, so I really wouldn’t worry at all when flying through this region. (No one is flying over Ukraine or conflict regions inside Ukraine anymore, anyway, but there is really no reason at all to worry about Russia.) It’s rare that civilian airplanes are shot down with weapons, anyway. I don’t think there is any reason to worry. This won’t happen to you.
(Oh, now, don’t get me wrong, were I to fly through this region I would be more scared than I would otherwise be. However, that would be irrational on my part and in many ways an involuntary reaction and no reason to change my plans.)
Actually most flights from Europe to East Asia fly over Russia now while carefully avoiding Ukrainian airspace.
So if you really need there and want to avoid Russian airspace, you'll have to fly via Africa or Americas or possibly transsiberian rail.
By glancing at flightradar24: Everybody is scared to fly over Ukraine, except for Russian (Transaero) and some Turkish planes bound to Russia who fly over central Ukraine just fine.