I assume that you're right handed? You could add more point weight, and if your shaft is truly too stiff, that should straighten it out. Then, if you really don't want the extra point weight, you can consider doing other things, but at least you'll know how things stand.
I think we all bash our arrows against things from time to time. I just check them, as you mentioned, and go on shooting them. You didn't mention testing alignment. The impact may have bent the point or insert. You can spin test the arrow to see if it is still in alignment, and replace the point and/or insert if they are bent. Also, when the nock flies off, it could mean that there is a crack in the rear end of the shaft. Inspect that carefully, because that can be dangerous. If it is cracked, either discard the shaft or at least cut the cracked part out of the shaft. In your case, you should probably discard the shaft if it has a crack, because you think it is too stiff and you wouldn't want it any shorter.