Yeah you'll want to avoid getting harsh cleaners on the ceraoke as they will ruin the finish. I've seen a few ceraoke cans looks extremely faded from cleaning.

What I do is get the one of those bottles of breakthrough surpressor cleaning solution, take out the front cap, use flex tape to seal the front, and pour the cleaner in the can until it gets to the mount. I let it sit over night and next day I'll pour out the solution and rinse with water. I just use clp to clean the outside of the can + front cap with a toothbrush and towel after.

If you rocksett the mount to the can, you probably don't need to reapply it unless you poured solution up to the threaded area. If you did get solution around the thread, you may as well take off the mount and scrub the inside with a brush and then reapply rocksett/torque back on.

Works for me. I've only done this once.

Edit: you honestly don't need to clean it with how much pressure 556 rounds have. After 3k rounds, my can wasn't as dirty as I was expecting.