I swear that I've heard a couple of U2 b-sides before with a very similar vibe to this, 1982-1987 timeframe.
Joshua Tree b-sides? Unforgettable Fire, October era? I'm thinking Deep In The Heart, Beautiful Ghost, Race Against Time, J.Swallow, Viva Davidoff (obscure Passengers OS1 b-side), as possible contenders.
Any suggestions?