The burning pain you describe, PT and Rhubarb - could that be let-down pain? It happened to me with DS1 and more strongly with DS2 - it's easing off now, but if DS2 has gone a while without a feed I do sometimes still feel it quite strongly. It bloody hurt in the early weeks.
I too have an abundant supply (9ozs expressed in 20 minutes) - you say there are no ways to manage this so you can feed in public without giving people facefuls (DS2 quite often has droplets of milk in his eyelashes and will often stop to pant after he's satisfied his first hunger...if he's not gagging from the milk practically drowning the poor boy!). However, you can feed one-sided for several feeds in a row - the other side might need a bit expressed at first to prevent engorgement, but it does soon settle down.
I had mastitis this time round and that bloody hurts too.
And for the first two weeks, it was really hard to get DS2 latched on because his mouth was too small and his suck too strong - whichever part of me he got hold of, he'd manage three or four strong sucks before I got him on better (not necessarily right, but more bearable). I just curled my toes and tried not to sob.
And I think of myself as someone who knows how to position a baby, someone who has helped other women to do this in RL and has read more about bfeeding than your average GP (ha!).
MD... 
at woman who said bottlefeeding takes less time than bfeeding. I had someone say to me as I was feeding DS2 "oh, they're so much more settled on the bottle, aren't they?" Imagine that the other way round?!