TRY THIS - I know too what u r going thru. Feeling like u hav flu and even the slightest movement, sneeze or cough causing pain.
I was not disimilar to a rugby ball with hardly a nipple to latch onto that was split and painful beyond belief. I tried all positions but all proving so painful I'd be in tears while my son fed. I was as determined as you sound to continue to bf.
The best thing for me was an electric breat pump. Its pressure was gradual and consistent and worked wonders. I fed my son on the good breast first and at the same time started the elec. br pump on the other side. Once you have the let down reflex and a decent size nipple change baby over to have a good feed off the engorged breast. Its not pain free by any means but is quicker to settle into a decent feed to reduce the pressure.
To get over this very painful period I did take painkillers half an hour or so before a feed but I'd rather that than antibiotics. Its need is short lived.
To prevent the build up of pressure I'd use the elec breast pump to control the amount of milk produced myself instead of relying on baby. The breast is an amazing life giving thing and will adjust to suit as you know.
It only took a few feeds to feel comfortable before a feed to calm myself down. I felt in control and once you have that then you can relax too.
There are people who say whats right and whats wrong for bfeeding but you are in the position where its you who need to decide and you can only do that by judgement of your feeds and milk produced as you go and what works for you and your baby to get thru this difficult time.
Once the engorgement is under control the amount of milk and feeds will come together and give you many many months of joyful, unforgettable moments.
I got thru it and u can too. I successfully bf my son for 13 months and if it wasn't for my friend Nicky's encouragement of "persavere coz it pays dividends you'll never forget" I am sure I'd have given in.
PS: I was warned that once I started on nipple sheilds I'd struggle to get my son to accept my nipple once healed - Its just another thing for you and your baby to work through later - and you can. I used shields for many weeks and it had no detrimental affects at all.
Gud luck