With all the discussion on how Peter could not give up his secret identity, it just dawned on me why pairing him with Ms. Marvel or She-Hulk doesn't work out.
They have no secret identities. They are She-Hulk first, Jennifer second, or Ms. Marvel first, Carol second.
Peter is half way Peter Parker and Spider-Man, with equal importance, and it would be difficult to impossible to reconcile a relationship between a full time heroine and a part time hero.
Maybe if there was a part time heroine, one who valued her secret ID as much as he does, it could work out. As it is, I don't think Marvel has any. At least, not any in Peter's age group.