Waayyyyyy back when I used to dance I'd get ingrown nails a lot- from how short I had to cut my nails...
I have no idea where I heard this *and I swear by it now* but what I always did was to pull a tiny piece off a cotton ball, roll it into a smaller ball and push it under your nail- in the corner. I'd usually have to use tweezers or something to jam it under there but once it's in it's good for a few days. If you've already cut off the tip that's been hurting you, you probably won't have enough nail left to do this though.
A word of caution- THIS IS EXTREMELY PAINFUL as you can imagine!!!!!!
BUT- once you get it in there after a few minutes it should start to feel a little bit better. All it does is allow your nail to grow out naturally over the skin rather than into it. I used to do my own home surguries but after the cotton trick I decided to never ever (ever!) try cutting the little bit off because all it does is grow right back the way it was... Once you have that bit of cotton under there it will still be tender from all the "trauma" the nail caused to your skin but once that starts to heal up you should be doing much better!
I hope this helps! I know how painful those are!
As a side note- one year for Christmas Chad's mom got him some Dr. Scholl's ingrown toenail pain reliever
weirdest gift I've ever seen... but that's beside the point! Anyway- she says it's awesome, he's never used it yet since he doesn't even get
ingrown toenails that often. But that is supposedly really helpful for the pain.