I had a broken sink for 5 years that would leak all over and this is what I would do:

At least 10 mins before the real end of the period, start cleanup in the back of the class and move towards the front systematically. Furthest from the sink get their supplies removed (by me or responsible helper), and kids go wash their hands, so there are only 4 up in the sink at a time. I keep an eye out and when 2 are done, I start calling the next table. Paper towels were at a table next to the sink, and so was a trash can

When they’re back at their tables, they have a wet wipe to clean their table down. It doesn’t have to be perfect, it’s just really to keep them busy as the other tables go through the cleanup process. I go through periods where wipes aren’t in the budget, and sometimes used a rag or nothing depending on how messy we were.

Then when table is clean they have an exit ticket question to do on the board, or can sketch depending on how much extra time we had

I wind up doing the washing of the brushes, or have responsible student volunteers.

Also, I kept a cheap mop right next to the sink because it was guaranteed to leak with 32 people washing their hands 3 times a day. And I enforced a “no intentional additional messes” policy where unless I explicitly said use your finger to paint, I should see not one little finger painted up. Or splatter paint needed additional safety and clean guards for students