Love that top, Gigi!
So...here's my results. I never dry clean silk tops. Never. I don't care what the label says.
I hand wash (by actual hand) or machine wash in a lingerie bag and only if you have a hand wash or gentle setting in a non agitating machine. With Woolite or similar (gentle soap). In cold water. With like colours.
Hang to dry.
Iron on the steam setting.
Your item may look as if it is shrunken or not quite the same texture after the air dry. (The lighter weight or lower quality the silk, the more likely this is to be the case). But after ironing, it will look good as new.
I have never experienced colour bleeding or any other issue like that -- again, cold water, like colours in the wash.
These are examples of tops and dresses that I have treated this way and I have never had a problem. Different quality levels and cost, but still no problem.
I love wearing silk in all seasons. And yes, it does take a bit more loving care, but in my opinion it is worth it.