If it bothers you, cut it. Period
I used to be just length-goal oriented and gave not a thought to how I felt about my hair in the moment, except to quickly put it up every day and never look at it down, and NEVER wear it out down. I felt so embarrassed once when I went to the store with it down. That is so -- wrong!
Hair is definitely something that is malleable. It grows, you can style it, etc. If you want to grow it out but hate it in the process, where's the fun in that?
I say if cutting a few inches makes you happier getting to your goal, DO IT! Although I'm regrowing now and am realizing just how long it takes hair to grow, I was so happy to have cut it, and I don't regret it a bit.
Rereading this I feel a little bit heretical, but remembering how awful my hair made me feel makes me want to encourage others to feel happier about it.