Would it be better if I skipped the parts covered by the anime?
So far, the contents have been exactly the same, even the lines...
I haven't read the manga myself, but I do recall hearing some people mention that the anime changed
something about the final episode to make it feel a little more like a proper ending to the series. So it might be worth double-checking that chapter just in case, to see if anything is noticeably different?
Aside from that... I would personally like to see some of the art from the anime chapters, but I don't think anyone would blame you for not wanting to spend so much time and energy catching up to where the anime left off.
No matter what you decide to do, your effort is appreciated!