"But this sort of hunting would obviously be purely recreational, and having blind people doing it is only going to increase the already too high incidence of gun accidents associated with hunting."
Hunting accidents that you claim are " already too high" are in reality next to none when compared to other outdoor sports.
You are much more likely to be injured or killed while playing football, baseball, golf, or tennis.
Michigan has had the same "Blind hunting" law for several years and its never been a problem of any kind. Zero accidents and very few would even wish to try it.
Its a non issue!
Do they hunt at night, then?
I'd bet most of the "blind" hunters that go for this aren't really blind but have odd problems that make their vision unmeasurable instead. I had a friend like that in jr high, without correction his eyes twitched constantly, he could still see OK without glasses but his vision couldn't be measured because of how his eyes behaved. So legally he was blind even though he could see fine, people like him will probably be the ones taking advantage of this law.