Welcome!

Perhaps you can trim your ends every few months to cut off the damaged hair completely and then continue growing fresh and clean. I think that would be much easier than hiding the damage. Also coconut oil seems to work very well with damaged hair and it is much lighter than olive oil. And conditioner works wonderfully in removing oil. Just cover your hair in conditioner before getting in the shower, while your hair is still dry, leave it for 20 minutes or so then wash it out.

Good luck!