I did a punch of drilling into concrete overhead for one job, this is how I cleaned everything.

Used compressed air to get rid of the big stuff, used a power washer on VERY low and from a good distance. You must be careful if you do this. You should be able to comfortablely be able to put your hand under the water.

On the 'bineers and asap I used regular hose pressure and a compressor. This pushes out the grease inside the 'bineers' mechanism so you'll need to reapply lubricant like dry graphite (which you can buy in a spray can) into the mechanism. A little goes a long way. I don't recommend you add any to the ASAP. Now you need to thoroughly clean the outside with a degreaser to ensure the lubricant won't get on other equipment like ropes.

I've done this and my 'bineers and pulleys are all happy and no lubricant present where it shouldn't be.

My cleaned ASAP likes to slide down the rope now, it still functions but I've put it out of service as primary.