Al Ewing did write Spider-Man for some bits in his Mighty Avengers run, first when Otto was in the role of Superior Spider-Man and ended up alienating Spider-Man from the Mighty Avengers, especially old friends/allies like Jessica Jones and Luke Cage, with his attempt to take over the team by force, then when Peter Parker came back during the AXIS tie-in and rebuked the Inverted Avengers for brawling in the street with the Mighty Avengers and misusing their authority and power. The second part was amazing character work on Ewing's part, so I'd be looking forward to seeing what he could do with a full Spider-Man story to himself, and I liked what little I read of Spider-Man under Kelly Thompson's pen in Jessica Jones: Blind Spot, so I'd be down for reading her take on him as well, especially if Mary Jane ended up in the mix somehow.
Also, cosigning Hugo Strange: "Teresa Parker, please."