How close are you to the Washington state border? I know at least two parrot stores in Seattle/King Country that work with local breeders and infrequently get greys; I also know one of them sometimes get greys for rehoming.
I have kids and a very loud household as well, and every up for adoption Grey Iāve met (only three, mind you) all were very nervous around kids, or we were told didnāt like kids outright also. I, like you, had (before coming to this forum) also considered buying a grey as a baby - but we ended up getting a cockatiel, and later adopting amazons instead. Our Amazons are both rescues and they LOVE our kids. Too much, in one case, but the point is, they do not seem to mind chaos or noise. They happen to also both be great talkers, but thereās no guarantee.
If itās not too far for you, contact Incaās Secret or Deniseās Parrot Place. Both have had rehomed greys and babies come through. Itās a little too early for any breeders to have greys yet, I believe, but we are coming up on when theyād know availability. I will warn you however that almost every grey rehome Iāve seen has begun plucking, with I think one exception, so thatās something else to consider. Changing hands unexpectedly and being uprooted like that is really rough for them.