I'm not sure how big silkie chicks are but maybe one of the shorty drinking glasses that are always in drinking glass sets would work. Or something like a small but deep sided plastic storage bowl, normally the size that comes with assortments you look at and then put to the side since you can...
I had some button quail who started off like this. It took them 3 days to get up on their feet. Luckily I had a small pipette and some chick saver. I found the pipette works great for getting them some water safely. They will peck the drops off at the end when you squeeze the pipette once...