They could use Julia Carpenter. She is the second Spider-Woman but eventually changes her name to Arachne before becoming the new Madame Web.There's also a new character called Silk. She was bitten by the same Spider that bit Peter before it died.And of course they could go with Black Cat.Honestly Sony better keep whatever female they plan to use for a supporting role. I doubt anyone would line up for a Black Cat movie.
Spider-Woman/Jessica Drew always belonged to Marvel. Sony owns Spiderman and other heroes that are related to Spiderman comics like Black Cat, Spiderman 2099, Ultimate Spiderman, etc. As well as Spiderman's rogues gallery. Jessica Drew has always been more affiliated with HYDRA/SHIELD which Marvel owns.
I could definitely picture Garfield's Spiderman fitting in this universe but the fact that he hasn't bumped into SHIELD at this point would make no sense.