I haven't seen all the Marvel films, but did they ever get around to facing foes who can negate, absorb, etc. powers? That's one of the places where a "super normal" like Hawkeye can really shine.
I don't really think they have. I feel like the closest they ever got was Black Panther, and that's less about negating powers in general and more about how crazy hax vibranium is.
Probably doesn't help that "powers" is a nebulous concept. If the goal is to give someone like Hawkeye a chance to save the day I feel like you need less of a power-negator and more a Prometheus-esque planner who has tailored his strategies to disable the rest of the Avengers.
Of course then you run into the problem of "why wouldn't he also make contingencies for Hawkeye, whose effectiveness can be severely impacted by just hiding his bow" (not to say he's not dangerous without it, but the bow definitely helps ;) ) and I feel like the only real answer is "he didn't think Hawkeye was a threat" which opens up its own weird can of worms and kind of cuts down the villain's perceived threat level in the first place.
Ultimately l guess I think the idea's better suited for a single-issue comic or episode of a TV show than a probably 2+ hour movie. Purely subjective, of course.
I suppose I have set myself up for failure, so I may as well name the only place that could have worked: The Cage.
For anyone reading this comment and unfamiliar with "The Cage," that isn't a surprise; while it has shown up more often than I realized, its still only had 8 total appearances since it debut in 2001, and if the Marvel Wiki I'm reading is correct, The Raft eventually replaced it.
So, if it wasn't apparent, the Cage is one of the prisons for "supervillains" in the Marvel Comics Universe. So, how does it deal with its occupants? Not only is technology in place to deal with supers (be they mutants, mutates, etc.) but there are also countermeasures against magic. I seem to recall additional countermeasures to cover even more kinds of "supers", but I didn't see them mentioned in the article. Relevant to the discussion is how this affects life within the prison; "super normals" tend to dominate. Not sure how common that term is, but I'm talking about any non-powered beings who are capable of "hanging" with the superpowered community. In other words, characters like Georges Batroc and Maximillian Zaran rank high. Oh, and with or without powers, those with the proper connections also do well at the Cage. This can actually be used to explain some characters standing outside the Cage. I mean, this was a retcon: the Cage was introduced in 2001, but was claimed to have been in operation well before then. It does get confusing; at the same time we're informed about how outside connections (Maggia) still play a role with the goings on within... but there was a comment about memory wipes for the prisoners to preserve the secret of its location. I think the idea is that campier characters like Batroc and Zaran had proven themselves in the Cage.
So... if someone like Hawkeye found himself an inmate there - quite plausible as part of the "Civil War" storyline - he'd be in pretty good shape. I mean, instead of his lack of powers making him a target, it'd probably be those resentful of his actions while part of S.H.I.E.L.D. or the Avengers.
Author Notes:
And we also have Clint, the character only a few people know they shouldn't mess with. Until he messes with them. Then everyone knows.