Many wools can be washed in tepid (lukewarm - body temperature) water, and then rinsed in the same temperature water.
And then machine dried on a gentle setting. Remove from the dryer when barely dry.
I've washed Pendleton wools this way and they turned out fine. Although I did hold my breath when I was doing it. I had no or very little shrinkage with this.
I've also washed the fuzzy wool blankets this way and they turned out fine.
I don't know if they shrank or not, because I did not measure them ahead of time. They seem about the same.
I did once wash a loosely knitted wool sweater - sort of a fuzzzy yarn - in hottish water (wringer washing machine) and left it agitating in the machine too long - it was a man's sweater and ended up being about the size of a pot holder.
Whatever care the blanket requires, is what the quilt will require.