The US is large enough country and it should be possible to build DC far away from homes. That’s a rare case where I support NIMBY. I lived in 1km from a gas fired power station and did bot notice any noise at all. If a DC can be heard it is either too close or too loud.
It's kind of darkly funny that NIMBY ever came to refer to housing in the first place. The term was originally meant to apply to stuff exactly like this -- i.e. genuinely noxious uses that most people nevertheless agree are necessary somewhere. Almost everybody is a NIMBY in this sense.
A state housing complex is just housing. Not wanting that nearby is NIMBYism because it's about not wanting it specifically near your home even though it's, by definition, going to need to be done in a spot zoned for homes.
The question around a e.g. jet engine test site is very different though - more like "why would we need the jet engine test site to be within a mile of anyone's back yard in the first place"? Usually the answer is "we don't, it just kinda happened that way as the city grew".
It makes me want to fucking cry, what's happening to my country.
I think this would be the greatest annoyance to me, the other stuff becomes background noise eventually