I had similar nipple problems. My daughter had a very shallow latch, no reason to believe she had a tongue tie or high palate.
Day 2, I already had blisters on my nipples, no matter how many times the LC corrected the latch. Every time, my daughter would pull back and latch ONLY onto my nipple.
By day 5, I had bleeding, cracked nipples.
I was in so much pain, I decided to try a nipple shield (yes, I know unpopular around here). It allowed me to continue nursing AND let my nipples heal. It didn't affect my supply at all.
When my daughter was 4 weeks, we went back to see the LC and by that time, I also had a forceful letdown. We would get my daughter latched on wonderfully, my milk would let down and she would immediately pull back and pinch down on my nipple to slow the flow of milk. The LC felt it was a combination of my letdown and a tiny little mouth, which was causing the poor latch.
Anyway, long story short, we ended up using the nipple shield for just over two months. But we weaned ourselves off it by combining feedings with it and without it, allowing my daughter to get used to just my breast.
So I would suggest trying a nipple shield for a couple of days to allow your nipples to heal but you can still nurse. And then, while you work on the latch, maybe use the shield for occasional feedings to give your nipples a much deserved break?
(I found pumping with cracked bloody nipples excruciating!)