I am not sure about procedures to unblock tubes. I just wanted to share with you though, that my story is similar to Ellie's, in that I lost my right tube after an ectopic pregnancy and was told my left tube was 'in bad shape' and yet, while waiting to start another IVF cycle, we just conceived naturally...with that one dodgy tube. And I ovulated on the right side, and the egg made it to the left tube. So there is hope.
I wish you all the best