How would Avengers characters change the narrative?

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So, how would the inclusion of one of the original Avengers characters as a guest star in one episode (or more) change the narrative of the first season? The second?

Iron Man
Hulk
Thor
Captain America
Hawkeye
Black Widow

Out of the original six, Black Widow has the most history in comics with Daredevil. So far it doesn't look as if Matt has ever encountered Natasha yet. Maybe if the Russian Mob (or someone with a connection to her "Red Room" past) starts asserting itself in Hell's Kitchen, she might show up.

If Banner were ever put on trial for his Hulk rampages, it would be interesting to see Matt as his attorney; maybe this would be a good way to bring in Jennifer Walters as well.

Outside of Stark's charity interests donating a grant to a local organization or person, I don't see him hanging out in the Hell's Kitchen area at all.

This Hawkeye is married with a family who live in a rural area, so it's unclear how Clint might show up.

Unless Thor decides on a whim to go on a bar crawl in the area, it's not likely he'd show up locally.

Before the events of Civil War, I could see Steve Rogers deciding to visit more of NYC just for the general experience of seeing more of the modern world. So far in the MCU he hasn't had a "street world" adventure, though.. I suppose Matt may have been passed along some stories from his dad about the legend of Capt. America.. (though I'm thinking Matt's father was born well after WWII, based on this timeline)..

How would Avengers characters change the narrative?