The plastic pipe can usually handle freezing. As long as you have electric, heat tape is an option.I wonder how the water service would stand up to a hard freeze, say if the building was not heated over winter. Can water meters stand freezing? What about the plastic pipe to the meter?
A lot of new homes are now going with pex water lines instead of the old cpvc because the pex can withstand freezing and thawing. The cpvc cracks if it freezes.
I don't know what your water meters are like, but I suspect they are similar to the water meters we have here. The body of the water meter is metal, but the back side is a plastic plate. If the water meter freezes, the plastic cover cracks to protect the meter. A couple small bolts and you can install a new plastic cover and you are back in business. The plastic cover is designed to act like the freeze plugs in your automotive engines.
I'm not sure about draining washing machines. I would suspect that getting the water out of the pump at the bottom would be the hardest part. Maybe dump some antifreeze into the washer, and then run the spin cycle to get the antifreeze pushed into the pump and drain line.
How big is the laundry room? As long as you have electric, a small electric heater with a thermostat on the frost-free setting will keep the room above freezing.
An alternative to draining a lot of water lines is to leave faucets dripping. The water coming out of the ground is 55 degrees (it is here) and the warm 55 degree water keeps the pipes from freezing. I don't know what you water bill is like, but leaving faucets trickling water may be a lot cheaper than fixing frozen pipes.
I assume you are on some kind of municipal water, since you have a water meter. I assume they have a water tower, and that you still have water pressure even in the event of a power outage. Our water towers here have generator backups for the water pumps. Leaving faucets trickling has an added benefit that it would keep pipes from freezing even if you lost electric service for a while.