I wash patients hair in bed who have trachs, intubated or not.
I always tell the Doc my plan early in the (night) shift and make sure it is OK. The patient must be able to cooperate.
We have a "bed fast rinser". Rolling a "basin" under their head with plastic garbage bags and making a trough to drain into a trash can works too. Tape another bag so it goes all the way into the can.
Use lots of towels under and beside the patients neck. It is best to have two people it the patient has a trach.
The patient is all the way to the edge of the bed with the siderail up. (Plastic through the rails.
I barely wet the hair with warm water from a drinking pitcher. Lather with a little "no rinse" shampoo.
Carefully rinse ensuring not to overflow. If using the pillow under plastic I have to push down on the pillow to facilitate draining.
Then make sure all the water is drained. Have someone help you lift the patients head. Quickly remove the wet towels and wrap the patients hair in a dry towel.
If the patient cannot get up change the sheets and put a pad unter the head. We have used leave-in conditioner.
Patient really appreciate this.
I can’t find a picture of our rinser. . Maybe your hospital could use one of these:
Deluxe Shampoo Basin from ActiveForever.com
Amazon.com: hair washing tray